The existence ofpositive radialsolutions ofthe equation - div(｜Du｜p- 2Du)= f(u) is studied in annular dom ains in Rn,n≥2. Itisproved thatiff(0)≥0, f is somewhere negativein (0,∞), lim u→0+ f′(u)= 0and lim u→...The existence ofpositive radialsolutions ofthe equation - div(｜Du｜p- 2Du)= f(u) is studied in annular dom ains in Rn,n≥2. Itisproved thatiff(0)≥0, f is somewhere negativein (0,∞), lim u→0+ f′(u)= 0and lim u→∞(f(u)/up- 1)= ∞, then thereisa largepositiveradialsolution on allannuli.Iff(0)< 0 and satisfiescertain condi- tions, then the equation has no radialsolution ifthe annuliare too wide.展开更多
1. There are fruitful results in geometrical function theory of one complex variable. But there exist a lot of counter examples to show that the corresponding results in several complex variables are not true. For the...1. There are fruitful results in geometrical function theory of one complex variable. But there exist a lot of counter examples to show that the corresponding results in several complex variables are not true. For the classical distortion theorem in one complex variable, H. Cartan conjectured that it is valid for the biholomorphic mappings on the unit ball B^n in C^n (n≥2). Unfortunately, this conjecture is not true(see [2]). In this report, we will consider the distortion theorem of biholomorphic mappings on transitive do-展开更多
Phosphor-in-glass(PiG)has been prepared into various types of phosphor films owing to its simplicity process,exceptional color purity,and convenient color adjustability.Nevertheless,existing reflective PiGs films have...Phosphor-in-glass(PiG)has been prepared into various types of phosphor films owing to its simplicity process,exceptional color purity,and convenient color adjustability.Nevertheless,existing reflective PiGs films have encountered limitations in terms of stability and feasibility as reliable color converters,mainly attributed to issues related to thermal deposition and insufficient optical efficiency.Herein,we propose to use AlN substrate with superior thermal conductivity to coat the TiO_(2) layer to obtain TiO_(2)-AlN(TA),which enhances the reflectivity of blue light to facilitate the light conversion process.By incorporating highly thermally stable LuAG:Ce-PiGs on a TA substrate,the LuAG:Ce-PiTA converter exhibits a luminous flux of 1102 lm@6.4 W,and maintains a relative intensity of 94.6%at 473 K benefiting from the high thermal conductivity of 34.1 W/(m·K).The addition of CASN_(3):Eu to the color converter 50 L&10C-PiTA enables an impressive CRI of 90.7.Relative lumine scence intensities of LuAG:Ce-PiTA and 50 L&10C-PiTA only decrease by 5.35%and 3.28%,respectively,in the 24 h illumination aging decay test of the reflective laser module.The results confirm the suitability of the optimally designed TA substrate for LuAG:Ce color converter applications in high-power reflective laser illumination.展开更多
Nanometer aluminum nitride powder with purity higher than 98wt% and diameter in the range of 5-80nm has been obtained by microwave heating using α-Al2O3、Al(OH)3、 colloidal Al(OH)3 as the source for aluminum, and ph...Nanometer aluminum nitride powder with purity higher than 98wt% and diameter in the range of 5-80nm has been obtained by microwave heating using α-Al2O3、Al(OH)3、 colloidal Al(OH)3 as the source for aluminum, and phenolformaldehyde resin, char, nanometer carbon black powder as the source for carbon, respectively. The effect of the type of starting materials and synthesis conditions on the purity and the size of the nanometer AlN powder has been analyzed in this paper.展开更多
文摘The existence ofpositive radialsolutions ofthe equation - div(｜Du｜p- 2Du)= f(u) is studied in annular dom ains in Rn,n≥2. Itisproved thatiff(0)≥0, f is somewhere negativein (0,∞), lim u→0+ f′(u)= 0and lim u→∞(f(u)/up- 1)= ∞, then thereisa largepositiveradialsolution on allannuli.Iff(0)< 0 and satisfiescertain condi- tions, then the equation has no radialsolution ifthe annuliare too wide.
文摘1. There are fruitful results in geometrical function theory of one complex variable. But there exist a lot of counter examples to show that the corresponding results in several complex variables are not true. For the classical distortion theorem in one complex variable, H. Cartan conjectured that it is valid for the biholomorphic mappings on the unit ball B^n in C^n (n≥2). Unfortunately, this conjecture is not true(see [2]). In this report, we will consider the distortion theorem of biholomorphic mappings on transitive do-
文摘Phosphor-in-glass(PiG)has been prepared into various types of phosphor films owing to its simplicity process,exceptional color purity,and convenient color adjustability.Nevertheless,existing reflective PiGs films have encountered limitations in terms of stability and feasibility as reliable color converters,mainly attributed to issues related to thermal deposition and insufficient optical efficiency.Herein,we propose to use AlN substrate with superior thermal conductivity to coat the TiO_(2) layer to obtain TiO_(2)-AlN(TA),which enhances the reflectivity of blue light to facilitate the light conversion process.By incorporating highly thermally stable LuAG:Ce-PiGs on a TA substrate,the LuAG:Ce-PiTA converter exhibits a luminous flux of 1102 lm@6.4 W,and maintains a relative intensity of 94.6%at 473 K benefiting from the high thermal conductivity of 34.1 W/(m·K).The addition of CASN_(3):Eu to the color converter 50 L&10C-PiTA enables an impressive CRI of 90.7.Relative lumine scence intensities of LuAG:Ce-PiTA and 50 L&10C-PiTA only decrease by 5.35%and 3.28%,respectively,in the 24 h illumination aging decay test of the reflective laser module.The results confirm the suitability of the optimally designed TA substrate for LuAG:Ce color converter applications in high-power reflective laser illumination.
文摘Nanometer aluminum nitride powder with purity higher than 98wt% and diameter in the range of 5-80nm has been obtained by microwave heating using α-Al2O3、Al(OH)3、 colloidal Al(OH)3 as the source for aluminum, and phenolformaldehyde resin, char, nanometer carbon black powder as the source for carbon, respectively. The effect of the type of starting materials and synthesis conditions on the purity and the size of the nanometer AlN powder has been analyzed in this paper.
