In this paper,we investigate the minimization problem e_(s)(p)=_(u∈W_(V)^(1,N))(r^(N)),||u||_(N)^(N)=p>0 inf E(u),where E(u)=1/N∫_(R_(N))|▽_(u)|^(N)dx+1/N∫_(R_(N))V(x)|u|^(N)dx-1/s∫_(R_(N))|u|^(s)dx.Here s>...In this paper,we investigate the minimization problem e_(s)(p)=_(u∈W_(V)^(1,N))(r^(N)),||u||_(N)^(N)=p>0 inf E(u),where E(u)=1/N∫_(R_(N))|▽_(u)|^(N)dx+1/N∫_(R_(N))V(x)|u|^(N)dx-1/s∫_(R_(N))|u|^(s)dx.Here s>N,V is a spherically symmetric increasing function satisfying V(0)=0,|x|→∞lin V(x)=+∞We discuss the problem in three cases.First,for the case s>2N,e_(s)(ρ)=-∞for anyρ>0.Secondly,for the case N<s<2N,for anyρ>0,we prove that it admits a minimizer which is nonnegative,spherically symmetric and decreasing via the N-Laplacian GagliardoNirenberg inequality.When s=2N,the existence and nonexistence of minimizers of e_(s)(ρ)will also be given.During the arguments,we provide the detailed proof of the N-Laplacian Gagliardo-Nirenberg inequality and N-Laplacian Pohozaev identity.展开更多
Thermoelastic martensitic transformations in shape memory alloys can be modeled on the basis of nonlinear elastic theory.Microstructures of fine phase mixtures are local energy minimizers of the total energy.Using a o...Thermoelastic martensitic transformations in shape memory alloys can be modeled on the basis of nonlinear elastic theory.Microstructures of fine phase mixtures are local energy minimizers of the total energy.Using a one-dimensional effective model,we have shown that such microstructures are inhomogeneous solutions of the nonlinear Euler-Lagrange equation and can appear upon loading or unloading to certain critical conditions,the bifurcation conditions.A hybrid numerical method is utilized to calculate the inhomogeneous solutions with a large number of interfaces.The characteristics of the solutions are clarified by three parameters：the number of interfaces,the interface thickness,and the oscillating amplitude.Approximated analytical expressions are obtained for the interface and inhomogeneity energies through the numerical solutions.展开更多
In this paper, the properties of the maps for the Heisenberg group targets are studied. For u e∈W1,α(Ω, Hm), some Poincare type inequalities are proved. For the energy minimizers, the ∈-regularity theorems and the...In this paper, the properties of the maps for the Heisenberg group targets are studied. For u e∈W1,α(Ω, Hm), some Poincare type inequalities are proved. For the energy minimizers, the ∈-regularity theorems and the singularity theorems are obtained.展开更多
In this article, we study constrained minimizers of the following variational problem ε（p）：={u∈H1 inf（R3）,｜｜u｜｜22=p} E（u）,ρ〉0,where E（u） is the SchrSdinger-Poisson-Slater （SPS） energy functional E（...In this article, we study constrained minimizers of the following variational problem ε（p）：={u∈H1 inf（R3）,｜｜u｜｜22=p} E（u）,ρ〉0,where E（u） is the SchrSdinger-Poisson-Slater （SPS） energy functional E（u）：1/2∫R3｜△u（x）｜2dx-1/4∫R3∫R3u2（y）u2（x）/｜x-y｜dydx-1/p∫R3｜u（x）∫pdx in R3,and p ∈ （2,6）. We prove the existence of minimizers for the cases 2 〈 p 〈10/3, p 〉 0, and P =10/3, 0 〈 p 〈 p＊, and show that e（ρ） = -∞ for the other cases, where p＊ = ｜｜φ｜｜22 and φ（x） is the unique （up to translations） positive radially symmetric solution of -△u ＋ u = u7/3 in R3. Moreover, when e（ρ＊） = -∞, the blow-up behavior of minimizers as p/p＊ is also analyzed rigorously.展开更多
This paper is concerned with the minimizers of L^(2)-subcritical constraint variar tional problems with spatially decaying nonlinearities in a bounded domain Ω of R~N(N≥1).We prove that the problem admits minimizers...This paper is concerned with the minimizers of L^(2)-subcritical constraint variar tional problems with spatially decaying nonlinearities in a bounded domain Ω of R~N(N≥1).We prove that the problem admits minimizers for any M> 0.Moreover,the limiting behavior of minimizers as M→∞ is also analyzed rigorously.展开更多
The behavior of radial minimizers for a Ginzburg-Landau type functional is considered. The weak convergence of minimizers in W1,n is improved to the strong convergence in W1,n. Some estimates of the rate of the conver...The behavior of radial minimizers for a Ginzburg-Landau type functional is considered. The weak convergence of minimizers in W1,n is improved to the strong convergence in W1,n. Some estimates of the rate of the convergence for the module of minimizers are presented.展开更多
In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ)-convex functions are introduc...In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ)-convex functions are introduced and sufficient optimality results are proved involving these classes. Also, a unified dual is associated with the considered primal problem, and weak and strong duality results are established.展开更多
We investigate the constrained fractional Choquard equation■where m>0,N>2s with s∈(0,1)being the order of the fractional Laplacian operator and I_(α)forα∈(0,N)denotes the Riesz potential.The parameterμ∈ℝa...We investigate the constrained fractional Choquard equation■where m>0,N>2s with s∈(0,1)being the order of the fractional Laplacian operator and I_(α)forα∈(0,N)denotes the Riesz potential.The parameterμ∈ℝappears as a Lagrange multiplier.By imposing general mass-supercritical conditions on F,we confirm the existence of normalized solutions that characterize the global minimizer on the Pohozaev manifold.Our proof does not depend on the assumption that all weak solutions satisfy the Pohozaev identity,a challenge that remains unsolved for this doubly nonlocal equation.展开更多
This paper considers the concave minimization problem with linear constrailits,proposes a technique which may avoid the unsuitable Karush-Kuhn-Tucker poiats,then combines this technique with nank-Wolfe method and simp...This paper considers the concave minimization problem with linear constrailits,proposes a technique which may avoid the unsuitable Karush-Kuhn-Tucker poiats,then combines this technique with nank-Wolfe method and simplex method to form a pivoting method which can determine a strictly local minimizer of the problem in a finite number of iterations. Basing on strictly local minimizers, a new cutting plane method is proposed. Under some mild conditions, the new cutting plane method is proved to be finitely terminated at an θ-global minimizer of the problem.展开更多
We establish a general oracle inequality for regularized risk minimizers with strongly mixing observations, and apply this inequality to support vector machine （SVM） type algorithms. The obtained main results extend...We establish a general oracle inequality for regularized risk minimizers with strongly mixing observations, and apply this inequality to support vector machine （SVM） type algorithms. The obtained main results extend the previous known results for independent and identically distributed samples to the case of exponentially strongly mixing observations.展开更多
Let Ω IR^N, （N ≥ 2） be a bounded smooth domain, p is Holder continuous on Ω^-, 1 〈 p^- ：= inf pΩ（x） ≤ p＋ = supp（x） Ω〈∞, and f：Ω^-× IR be a C^1 function with f（x,s） ≥ 0, V （x,s） ∈Ω ...Let Ω IR^N, （N ≥ 2） be a bounded smooth domain, p is Holder continuous on Ω^-, 1 〈 p^- ：= inf pΩ（x） ≤ p＋ = supp（x） Ω〈∞, and f：Ω^-× IR be a C^1 function with f（x,s） ≥ 0, V （x,s） ∈Ω × R^＋ and sup ∈Ωf（x,s） ≤ C（1＋s）^q（x）, Vs∈IR^＋,Vx∈Ω for some 0〈q（x） ∈C（Ω^-） satisfying 1 〈p（x） 〈q（x） ≤p^＊ （x） -1, Vx ∈Ω ^- and 1 〈 p^- ≤ p^＋ ≤ q- ≤ q＋. As usual, p＊ （x） = Np（x）/N-p（x） if p（x） 〈 N and p^＊ （x） = ∞- if p（x） if p（x） 〉 N. Consider the functional I： W0^1,p（x） （Ω） →IR defined as I（u） def= ∫Ω1/p（x）｜△｜^p（x）dx-∫ΩF（x,u^＋）dx,Vu∈W0^1,p（x）（Ω）,where F （x, u） = ∫0^s f （x,s） ds. Theorem 1.1 proves that if u0 ∈ C^1 （Ω^-） is a local minimum of I in the C1 （Ω^-） ∩C0 （Ω^-）） topology, then it is also a local minimum in W0^1,p（x） （Ω）） topology. This result is useful for proving multiple solutions to the associated Euler-lagrange equation （P） defined below.展开更多
AIM:To present an overview of the research on global glaucoma treatment in the last decade in terms of publication year,journals,countries/regions,organizations,references,and keywords,to investigate the current resea...AIM:To present an overview of the research on global glaucoma treatment in the last decade in terms of publication year,journals,countries/regions,organizations,references,and keywords,to investigate the current research international trends and hot topics in this area.METHODS:Bibliometric analysis was conducted on 9128 articles in the Web of Science Core Collection(WoSCC;Clarivate)database.Quantitative and qualitative analysis was employed using VOSviewer(v1.6.18),Pajek(v1.0.0.0),and CiteSpace(v6.1.R2)software.RESULTS:The 9128 papers relating to glaucoma treatment were published from April 2013 to April 2023,of which 7482 articles(82%)were original research articles and 1464(18%)were review articles.The United States(2867)and Johns Hopkins University(166)were the most productive country and institution,respectively,but the University College London had the highest h-index(54).The Journal of Glaucoma was the most productive and Ophthalmology had the highest h-index compared with other journals.The Keywords of interest included treatment surgery,cyclophotocoagulation,minimally invasive glaucoma surgery(MIGS),trabeculectomy,baerveldt,epidemiology,medication adherence,nanoparticle,optical coherence tomography(OCT),gene therapy,and artificial intelligence(AI).Glaucoma surgery appeared as a current research hotspot through the analysis of keywords.CONCLUSION:This study provides insights into the research trends and potential research hotspots in the treatment of glaucoma.This will help researchers to evaluate research policies and to promote international cooperation.展开更多
Overweight and obesity has been a major public health problem globally.It was estimated that more than 2.1 billion adults were affected by overweight or obese in 2021 worldwide,about one fifth of whom lived in China^(...Overweight and obesity has been a major public health problem globally.It was estimated that more than 2.1 billion adults were affected by overweight or obese in 2021 worldwide,about one fifth of whom lived in China^([1]).By 2050,the country is forecast to remain the one with the largest population of overweight and obese globally^([1]),if no effective strategies were applied on overweight/obesity control.展开更多
AIM:To investigate the efficacy and safety of 90°inferonasal sectoral goniotomy with an micro-vitreoretinal(MVR)blade in patients with mild-to-moderate primary open-angle glaucoma(POAG)and pseudoexfoliation glauc...AIM:To investigate the efficacy and safety of 90°inferonasal sectoral goniotomy with an micro-vitreoretinal(MVR)blade in patients with mild-to-moderate primary open-angle glaucoma(POAG)and pseudoexfoliation glaucoma(PEXG).METHODS:This retrospective study included data from 60 patients(60 eyes)who underwent stand-alone goniotomy or goniotomy with phacoemulsification between August 2021 and January 2023,and 45 eyes underwent goniotomy combined with phacoemulsification,and 15 eyes underwent goniotomy as a stand-alone procedure.Postoperatively,intraocular pressure(IOP)and the number of medications were collected at 1,3,6,and 12 mo.The side effects of surgery were recorded 1 d,1 wk,and 1,3,6,and 12 mo postoperatively.The primary outcomes were a reduction in IOP of at least 20%from baseline and a decrease in the number of antiglaucomatous medications in 1 a postoperatively.The secondary outcome was surgical success,defined as an IOP<18 mmHg with(qualified)or without(complete)antiglaucomatous medication at 1 a postoperatively.RESULTS:At the end of 1 a,78%of patients achieved both a>20%reduction in IOP and a reduction in the number of medications used.Overall success was achieved in 63%of patients.Microhyphaema was the most common complication,none of the patients experienced a complication requiring surgical intervention.CONCLUSION:Sectoral inferonasal goniotomy with an MVR blade significantly reduced IOP and the number of medications required in patients with POAG and PEXG,and 1-year follow-up after goniotomy showed that the need for filtering surgery was either eliminated or delayed in a significant number of patients.展开更多
The specific surface area(S S)and pore size(D)exhibit an inherent trade-off in the microscale design of bone implants:larger pores typically correlate with reduced surface area and vice versa.This relationship has att...The specific surface area(S S)and pore size(D)exhibit an inherent trade-off in the microscale design of bone implants:larger pores typically correlate with reduced surface area and vice versa.This relationship has attracted notable attention because of its critical role in the regulation of cell adhesion and osteogenesis.However,it remains largely unclear how S S and D affect the generated bone tissue and dynamically change during long-term osteogenesis.Herein,by applying rigorous geometric mapping to minimal surfaces,we constructed precisely partitioned and layer-by-layer thickened tissue models to simulate osteogenesis across different temporal scales and thereby track the dynamic evolution of geometric characteristics,permeability,and mechanobiological tissue differentiation.The high-S S samples were found to facilitate the rapid formation of new bone tissue in the early stages.However,their smaller pores tended to cause occlusions,hindering further tissue development.In contrast,low-S S samples showed slower bone regeneration,but their larger pores provided adequate physical space for tissue regeneration and mass transport,ultimately promoting bone formation in the long term.Mechanobiological regulation suggests that fibrous tissue formation inhibits additional bone formation,establishing a dynamic equilibrium between osteogenesis and pore space to sustain nutrient/waste exchange throughout the regenerative process.Overall,smaller pores are preferable in implants for minimally loaded osteoplasty procedures focused on early-stage bone consolidation,whereas larger pores are preferable in dynamically loaded implants requiring prolonged mechanical stability.展开更多
Microrobotic systems are emerging as transformative technology for minimally invasive medicine,driven by innovations in actuation mechanisms,advanced fabrication paradigms,and multifunctional system integration.This c...Microrobotic systems are emerging as transformative technology for minimally invasive medicine,driven by innovations in actuation mechanisms,advanced fabrication paradigms,and multifunctional system integration.This comprehensive review analyzes the evolution of microrobotic technologies through three critical dimensions:(1)actuation modalities,including magnetic,optical,acoustic,chemical,and biological actuation,with a focus on the synergistic advantages of hybrid actuation strategies in complex internal physiological environments;(2)Fabrication methods cover technolo-gies such as photolithography,microinjection molding,self-assembly,and 3D printing,emphasizing innovative strategies involving multi-technology integration and collaborative manufacturing of bio/non-bio hybrid materials;(3)Internal phys-iological applications involve disease diagnosis,targeted drug delivery,minimally invasive surgery,tissue engineering,and cell manipulation,highlighting the broad prospects of microrobots in precision medicine.Despite remarkable progress,critical challenges remain,including low actuation efficiency,as seen in acoustic systems,limited biocompatibility,exem-plified by the toxicity of hydrogen peroxide in chemical actuation,delayed clinical translation,and other related challenges that must be addressed to advance the field.展开更多
BACKGROUND Robotic assistance is increasingly used for donor and recipient hepatectomy in liver transplantation,yet existing evidence is fragmented and variably indirect.AIM To evaluate clinical outcomes,surgical perf...BACKGROUND Robotic assistance is increasingly used for donor and recipient hepatectomy in liver transplantation,yet existing evidence is fragmented and variably indirect.AIM To evaluate clinical outcomes,surgical performance,and economic effects of robotic-assisted donor and recipient hepatectomy in the transplant pathway.METHODS Following Preferred Reporting Items for Systematic reviews and Meta-Analyses 2020 and a priori registration,systematic reviews were included with or without meta-analysis.Four databases were searched through July 2025.Methodological quality was appraised with a measurement tool to assess systematic reviews(AMSTAR 2),and certainty was graded with grading of recommendations assessment,development and evaluation(GRADE).Evidence overlap was calculated via a citation-matrix-based corrected covered area(CCA).Effect sizes were prespecified as risk ratios(RR)for dichotomous outcomes and mean differences for continuous outcomes.RESULTS Five reviews met the inclusion criteria,four with meta-analyses and one consensus review used only for context.Donor(direct)findings were more favorable for robotics in terms of estimated blood loss(≈-117 mL)and length of stay(≈-0.6 days),although with longer operative time(≈+105 minutes).Absolute risks for donor complications were not estimable from ratio-only data.Recipient(indirect)meta-analysis indicated robotics to be favorable in terms of conversion(RR≈0.41)and severe morbidity(RR≈0.81),with a trend toward lower overall morbidity(RR≈0.92)and no difference in 30-day mortality.Differences in length of stay and operative time were small and heterogeneous.Economic evidence(indirect,network meta-analysis)suggested higher procedural costs for robotic vs laparoscopic intervention,but lower hospitalization costs vs open intervention,with laparoscopy the least expensive overall.AMSTAR 2 ratings were moderate-to-high across the reviews,GRADE certainty was low for key donor continuous outcomes,and low-to-moderate for recipient and economic outcomes.Overlap was slight(graded-corpus CCA=0.0%;including a contextual non-transplant review increased CCA to≈1.25%).CONCLUSION Robotic donor hepatectomy confers perioperative advantages at the cost of longer operative time.Recipient and economic findings are indirect and considered hypothesis-generating.Transplant-specific,prospective comparisons using a minimum standardized dataset and uniform outcome definitions are needed to resolve remaining uncertainties and to clarify the cost-utility correlation.展开更多
基金supported by the Xingdian Talents Support Program of Yunnan Province of Youthsthe Yunnan Province Basic Research Project for General Program(202401AT070441)+5 种基金the Yunnan Key Laboratory of Modern Analytical Mathematics and Applications(202302AN360007)supported by the NNSF(12261031)supported by the NNSF(12401145)supported by the NNSF(12371120)the Yunnan Province Basic Research Project for Key Program(202401AS070024)the General Program(202301AT070141)。
文摘In this paper,we investigate the minimization problem e_(s)(p)=_(u∈W_(V)^(1,N))(r^(N)),||u||_(N)^(N)=p>0 inf E(u),where E(u)=1/N∫_(R_(N))|▽_(u)|^(N)dx+1/N∫_(R_(N))V(x)|u|^(N)dx-1/s∫_(R_(N))|u|^(s)dx.Here s>N,V is a spherically symmetric increasing function satisfying V(0)=0,|x|→∞lin V(x)=+∞We discuss the problem in three cases.First,for the case s>2N,e_(s)(ρ)=-∞for anyρ>0.Secondly,for the case N<s<2N,for anyρ>0,we prove that it admits a minimizer which is nonnegative,spherically symmetric and decreasing via the N-Laplacian GagliardoNirenberg inequality.When s=2N,the existence and nonexistence of minimizers of e_(s)(ρ)will also be given.During the arguments,we provide the detailed proof of the N-Laplacian Gagliardo-Nirenberg inequality and N-Laplacian Pohozaev identity.
基金supported by the National Natural Science Foundation of China(Grants 11461161008 and 11272092)
文摘Thermoelastic martensitic transformations in shape memory alloys can be modeled on the basis of nonlinear elastic theory.Microstructures of fine phase mixtures are local energy minimizers of the total energy.Using a one-dimensional effective model,we have shown that such microstructures are inhomogeneous solutions of the nonlinear Euler-Lagrange equation and can appear upon loading or unloading to certain critical conditions,the bifurcation conditions.A hybrid numerical method is utilized to calculate the inhomogeneous solutions with a large number of interfaces.The characteristics of the solutions are clarified by three parameters：the number of interfaces,the interface thickness,and the oscillating amplitude.Approximated analytical expressions are obtained for the interface and inhomogeneity energies through the numerical solutions.
基金National Natural Science Foundation of China (19771048)
文摘In this paper, the properties of the maps for the Heisenberg group targets are studied. For u e∈W1,α(Ω, Hm), some Poincare type inequalities are proved. For the energy minimizers, the ∈-regularity theorems and the singularity theorems are obtained.
基金partially supported by National Natural Science Foundation of China(11671394)
文摘In this article, we study constrained minimizers of the following variational problem ε（p）：={u∈H1 inf（R3）,｜｜u｜｜22=p} E（u）,ρ〉0,where E（u） is the SchrSdinger-Poisson-Slater （SPS） energy functional E（u）：1/2∫R3｜△u（x）｜2dx-1/4∫R3∫R3u2（y）u2（x）/｜x-y｜dydx-1/p∫R3｜u（x）∫pdx in R3,and p ∈ （2,6）. We prove the existence of minimizers for the cases 2 〈 p 〈10/3, p 〉 0, and P =10/3, 0 〈 p 〈 p＊, and show that e（ρ） = -∞ for the other cases, where p＊ = ｜｜φ｜｜22 and φ（x） is the unique （up to translations） positive radially symmetric solution of -△u ＋ u = u7/3 in R3. Moreover, when e（ρ＊） = -∞, the blow-up behavior of minimizers as p/p＊ is also analyzed rigorously.
基金supported by the Graduate Education Innovation Funds(2022CXZZ088)at Central China Normal University in Chinasupported by the NSFC(12225106,11931012)the Fundamental Research Funds(CCNU22LJ002)for the Central Universities in China。
文摘This paper is concerned with the minimizers of L^(2)-subcritical constraint variar tional problems with spatially decaying nonlinearities in a bounded domain Ω of R~N(N≥1).We prove that the problem admits minimizers for any M> 0.Moreover,the limiting behavior of minimizers as M→∞ is also analyzed rigorously.
文摘The behavior of radial minimizers for a Ginzburg-Landau type functional is considered. The weak convergence of minimizers in W1,n is improved to the strong convergence in W1,n. Some estimates of the rate of the convergence for the module of minimizers are presented.
文摘In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ)-convex functions are introduced and sufficient optimality results are proved involving these classes. Also, a unified dual is associated with the considered primal problem, and weak and strong duality results are established.
基金supported by the Guangdong Basic and Applied Basic Research Foundation(2022A1515012138)the NSFC(12271436,12371119)supported by the Natural Science Basic Research Program of Shaanxi(2022JC-04).
文摘We investigate the constrained fractional Choquard equation■where m>0,N>2s with s∈(0,1)being the order of the fractional Laplacian operator and I_(α)forα∈(0,N)denotes the Riesz potential.The parameterμ∈ℝappears as a Lagrange multiplier.By imposing general mass-supercritical conditions on F,we confirm the existence of normalized solutions that characterize the global minimizer on the Pohozaev manifold.Our proof does not depend on the assumption that all weak solutions satisfy the Pohozaev identity,a challenge that remains unsolved for this doubly nonlocal equation.
文摘This paper considers the concave minimization problem with linear constrailits,proposes a technique which may avoid the unsuitable Karush-Kuhn-Tucker poiats,then combines this technique with nank-Wolfe method and simplex method to form a pivoting method which can determine a strictly local minimizer of the problem in a finite number of iterations. Basing on strictly local minimizers, a new cutting plane method is proposed. Under some mild conditions, the new cutting plane method is proved to be finitely terminated at an θ-global minimizer of the problem.
基金Acknowledgements The authors would like to express their sincere gratitude to the two anonymous referees for their value comments and suggestions. This work was supported by the National Natural Science Foundation of China （Grant Nos. 61272023, 61101240）.
文摘We establish a general oracle inequality for regularized risk minimizers with strongly mixing observations, and apply this inequality to support vector machine （SVM） type algorithms. The obtained main results extend the previous known results for independent and identically distributed samples to the case of exponentially strongly mixing observations.
文摘Let Ω IR^N, （N ≥ 2） be a bounded smooth domain, p is Holder continuous on Ω^-, 1 〈 p^- ：= inf pΩ（x） ≤ p＋ = supp（x） Ω〈∞, and f：Ω^-× IR be a C^1 function with f（x,s） ≥ 0, V （x,s） ∈Ω × R^＋ and sup ∈Ωf（x,s） ≤ C（1＋s）^q（x）, Vs∈IR^＋,Vx∈Ω for some 0〈q（x） ∈C（Ω^-） satisfying 1 〈p（x） 〈q（x） ≤p^＊ （x） -1, Vx ∈Ω ^- and 1 〈 p^- ≤ p^＋ ≤ q- ≤ q＋. As usual, p＊ （x） = Np（x）/N-p（x） if p（x） 〈 N and p^＊ （x） = ∞- if p（x） if p（x） 〉 N. Consider the functional I： W0^1,p（x） （Ω） →IR defined as I（u） def= ∫Ω1/p（x）｜△｜^p（x）dx-∫ΩF（x,u^＋）dx,Vu∈W0^1,p（x）（Ω）,where F （x, u） = ∫0^s f （x,s） ds. Theorem 1.1 proves that if u0 ∈ C^1 （Ω^-） is a local minimum of I in the C1 （Ω^-） ∩C0 （Ω^-）） topology, then it is also a local minimum in W0^1,p（x） （Ω）） topology. This result is useful for proving multiple solutions to the associated Euler-lagrange equation （P） defined below.
基金Suppotred by Tianjin Key Medical Discipline Construction Project(No.TJYXZDXK-3-004A-2).
文摘AIM:To present an overview of the research on global glaucoma treatment in the last decade in terms of publication year,journals,countries/regions,organizations,references,and keywords,to investigate the current research international trends and hot topics in this area.METHODS:Bibliometric analysis was conducted on 9128 articles in the Web of Science Core Collection(WoSCC;Clarivate)database.Quantitative and qualitative analysis was employed using VOSviewer(v1.6.18),Pajek(v1.0.0.0),and CiteSpace(v6.1.R2)software.RESULTS:The 9128 papers relating to glaucoma treatment were published from April 2013 to April 2023,of which 7482 articles(82%)were original research articles and 1464(18%)were review articles.The United States(2867)and Johns Hopkins University(166)were the most productive country and institution,respectively,but the University College London had the highest h-index(54).The Journal of Glaucoma was the most productive and Ophthalmology had the highest h-index compared with other journals.The Keywords of interest included treatment surgery,cyclophotocoagulation,minimally invasive glaucoma surgery(MIGS),trabeculectomy,baerveldt,epidemiology,medication adherence,nanoparticle,optical coherence tomography(OCT),gene therapy,and artificial intelligence(AI).Glaucoma surgery appeared as a current research hotspot through the analysis of keywords.CONCLUSION:This study provides insights into the research trends and potential research hotspots in the treatment of glaucoma.This will help researchers to evaluate research policies and to promote international cooperation.
文摘Overweight and obesity has been a major public health problem globally.It was estimated that more than 2.1 billion adults were affected by overweight or obese in 2021 worldwide,about one fifth of whom lived in China^([1]).By 2050,the country is forecast to remain the one with the largest population of overweight and obese globally^([1]),if no effective strategies were applied on overweight/obesity control.
文摘AIM:To investigate the efficacy and safety of 90°inferonasal sectoral goniotomy with an micro-vitreoretinal(MVR)blade in patients with mild-to-moderate primary open-angle glaucoma(POAG)and pseudoexfoliation glaucoma(PEXG).METHODS:This retrospective study included data from 60 patients(60 eyes)who underwent stand-alone goniotomy or goniotomy with phacoemulsification between August 2021 and January 2023,and 45 eyes underwent goniotomy combined with phacoemulsification,and 15 eyes underwent goniotomy as a stand-alone procedure.Postoperatively,intraocular pressure(IOP)and the number of medications were collected at 1,3,6,and 12 mo.The side effects of surgery were recorded 1 d,1 wk,and 1,3,6,and 12 mo postoperatively.The primary outcomes were a reduction in IOP of at least 20%from baseline and a decrease in the number of antiglaucomatous medications in 1 a postoperatively.The secondary outcome was surgical success,defined as an IOP<18 mmHg with(qualified)or without(complete)antiglaucomatous medication at 1 a postoperatively.RESULTS:At the end of 1 a,78%of patients achieved both a>20%reduction in IOP and a reduction in the number of medications used.Overall success was achieved in 63%of patients.Microhyphaema was the most common complication,none of the patients experienced a complication requiring surgical intervention.CONCLUSION:Sectoral inferonasal goniotomy with an MVR blade significantly reduced IOP and the number of medications required in patients with POAG and PEXG,and 1-year follow-up after goniotomy showed that the need for filtering surgery was either eliminated or delayed in a significant number of patients.
基金financial support from the National Natural Science Foundation of China(No.52035012)the Guangdong Basic and Applied Basic Research Foundation(No.2025A1515012203)。
文摘The specific surface area(S S)and pore size(D)exhibit an inherent trade-off in the microscale design of bone implants:larger pores typically correlate with reduced surface area and vice versa.This relationship has attracted notable attention because of its critical role in the regulation of cell adhesion and osteogenesis.However,it remains largely unclear how S S and D affect the generated bone tissue and dynamically change during long-term osteogenesis.Herein,by applying rigorous geometric mapping to minimal surfaces,we constructed precisely partitioned and layer-by-layer thickened tissue models to simulate osteogenesis across different temporal scales and thereby track the dynamic evolution of geometric characteristics,permeability,and mechanobiological tissue differentiation.The high-S S samples were found to facilitate the rapid formation of new bone tissue in the early stages.However,their smaller pores tended to cause occlusions,hindering further tissue development.In contrast,low-S S samples showed slower bone regeneration,but their larger pores provided adequate physical space for tissue regeneration and mass transport,ultimately promoting bone formation in the long term.Mechanobiological regulation suggests that fibrous tissue formation inhibits additional bone formation,establishing a dynamic equilibrium between osteogenesis and pore space to sustain nutrient/waste exchange throughout the regenerative process.Overall,smaller pores are preferable in implants for minimally loaded osteoplasty procedures focused on early-stage bone consolidation,whereas larger pores are preferable in dynamically loaded implants requiring prolonged mechanical stability.
基金National Natural Science Foundation of China(Grant No.61903157)the Foundation of State Key Laboratory of Robotics(Grand No.2024-O08).
文摘Microrobotic systems are emerging as transformative technology for minimally invasive medicine,driven by innovations in actuation mechanisms,advanced fabrication paradigms,and multifunctional system integration.This comprehensive review analyzes the evolution of microrobotic technologies through three critical dimensions:(1)actuation modalities,including magnetic,optical,acoustic,chemical,and biological actuation,with a focus on the synergistic advantages of hybrid actuation strategies in complex internal physiological environments;(2)Fabrication methods cover technolo-gies such as photolithography,microinjection molding,self-assembly,and 3D printing,emphasizing innovative strategies involving multi-technology integration and collaborative manufacturing of bio/non-bio hybrid materials;(3)Internal phys-iological applications involve disease diagnosis,targeted drug delivery,minimally invasive surgery,tissue engineering,and cell manipulation,highlighting the broad prospects of microrobots in precision medicine.Despite remarkable progress,critical challenges remain,including low actuation efficiency,as seen in acoustic systems,limited biocompatibility,exem-plified by the toxicity of hydrogen peroxide in chemical actuation,delayed clinical translation,and other related challenges that must be addressed to advance the field.
文摘BACKGROUND Robotic assistance is increasingly used for donor and recipient hepatectomy in liver transplantation,yet existing evidence is fragmented and variably indirect.AIM To evaluate clinical outcomes,surgical performance,and economic effects of robotic-assisted donor and recipient hepatectomy in the transplant pathway.METHODS Following Preferred Reporting Items for Systematic reviews and Meta-Analyses 2020 and a priori registration,systematic reviews were included with or without meta-analysis.Four databases were searched through July 2025.Methodological quality was appraised with a measurement tool to assess systematic reviews(AMSTAR 2),and certainty was graded with grading of recommendations assessment,development and evaluation(GRADE).Evidence overlap was calculated via a citation-matrix-based corrected covered area(CCA).Effect sizes were prespecified as risk ratios(RR)for dichotomous outcomes and mean differences for continuous outcomes.RESULTS Five reviews met the inclusion criteria,four with meta-analyses and one consensus review used only for context.Donor(direct)findings were more favorable for robotics in terms of estimated blood loss(≈-117 mL)and length of stay(≈-0.6 days),although with longer operative time(≈+105 minutes).Absolute risks for donor complications were not estimable from ratio-only data.Recipient(indirect)meta-analysis indicated robotics to be favorable in terms of conversion(RR≈0.41)and severe morbidity(RR≈0.81),with a trend toward lower overall morbidity(RR≈0.92)and no difference in 30-day mortality.Differences in length of stay and operative time were small and heterogeneous.Economic evidence(indirect,network meta-analysis)suggested higher procedural costs for robotic vs laparoscopic intervention,but lower hospitalization costs vs open intervention,with laparoscopy the least expensive overall.AMSTAR 2 ratings were moderate-to-high across the reviews,GRADE certainty was low for key donor continuous outcomes,and low-to-moderate for recipient and economic outcomes.Overlap was slight(graded-corpus CCA=0.0%;including a contextual non-transplant review increased CCA to≈1.25%).CONCLUSION Robotic donor hepatectomy confers perioperative advantages at the cost of longer operative time.Recipient and economic findings are indirect and considered hypothesis-generating.Transplant-specific,prospective comparisons using a minimum standardized dataset and uniform outcome definitions are needed to resolve remaining uncertainties and to clarify the cost-utility correlation.
