In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation...In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions.展开更多
In this paper,we consider the following quasilinear diferential equation（p（u′））′＋λf（t,u）=0subject to one of the two boundary conditions：u（0）=u′（1）=0,u′（0）=u（1）=0.After transforming them into a pro...In this paper,we consider the following quasilinear diferential equation（p（u′））′＋λf（t,u）=0subject to one of the two boundary conditions：u（0）=u′（1）=0,u′（0）=u（1）=0.After transforming them into a problem of symmetrical solutions,the existence of three solutions of the problem is obtained by using a recent critical point theorem of Recceri.An example is given to demonstrate our main result.展开更多
In this paper, we investigate a class of Dirichlet quasilinear elliptic systems involving the(p1(x), ···, pn(x))-Laplacian. Based on the general three critical points theorem of B. Ricceri, we prove the...In this paper, we investigate a class of Dirichlet quasilinear elliptic systems involving the(p1(x), ···, pn(x))-Laplacian. Based on the general three critical points theorem of B. Ricceri, we prove the existence of at least three weak solutions to the system.展开更多
In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value ...In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [C. Bonanno and P. Candito, Appl. Anal., 88（4） （2009）, pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory.展开更多
The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation o...The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation on a compact interval[a,b] R{-u＇＇=（λf（x,u）＋g（u））h（u＇）,in（a,b）,u（a）=u（b）=0under ppropriate hypotheses.We exhibit the existence of at least three（weak）solutions and,and the results are illustrated by examples.展开更多
In this paper we prove the existence of an open interval （λ＇,λ＇） for each A in the interval a class of Neumann boundary value equations involving the （p1,…,pn）- Laplacian and depending on A admits at least th...In this paper we prove the existence of an open interval （λ＇,λ＇） for each A in the interval a class of Neumann boundary value equations involving the （p1,…,pn）- Laplacian and depending on A admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno [Topo1. Methods Nonlinear Anal. [1] （2003） 93-103].展开更多
基金Supported by NSFC(11371282,11201196)Natural Science Foundation of Jiangxi(20142BAB211002)
文摘In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions.
基金Supported by the National Natural Science Foundation of Ministry of Education of Beijing(No.KM200810772010)Sponsored by the Science Research Foundation of Beijing Information Science and Tech-nology University(5026010948)
文摘In this paper,we consider the following quasilinear diferential equation（p（u′））′＋λf（t,u）=0subject to one of the two boundary conditions：u（0）=u′（1）=0,u′（0）=u（1）=0.After transforming them into a problem of symmetrical solutions,the existence of three solutions of the problem is obtained by using a recent critical point theorem of Recceri.An example is given to demonstrate our main result.
基金supported by National Natural Science Foundation of China(No.10971202)
文摘In this paper, we investigate a class of Dirichlet quasilinear elliptic systems involving the(p1(x), ···, pn(x))-Laplacian. Based on the general three critical points theorem of B. Ricceri, we prove the existence of at least three weak solutions to the system.
基金Supported by NSFC(11326127,11101335)NWNULKQN-11-23the Fundamental Research Funds for the Gansu Universities
文摘In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [C. Bonanno and P. Candito, Appl. Anal., 88（4） （2009）, pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory.
基金supported in part by grant from IPM(No.89350020)
文摘The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation on a compact interval[a,b] R{-u＇＇=（λf（x,u）＋g（u））h（u＇）,in（a,b）,u（a）=u（b）=0under ppropriate hypotheses.We exhibit the existence of at least three（weak）solutions and,and the results are illustrated by examples.
文摘In this paper we prove the existence of an open interval （λ＇,λ＇） for each A in the interval a class of Neumann boundary value equations involving the （p1,…,pn）- Laplacian and depending on A admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno [Topo1. Methods Nonlinear Anal. [1] （2003） 93-103].
