Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian  

作　　者：葛斌 薛小平 郭梦舒 

机构地区：[1]Department of Mathematics,Harbin Engineering University [2]Department of Mathematics,Harbin Institute of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第10期1283-1292,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.10971043 and 11001063);the Natural Science Foundation of Heilongjiang Province of China(No.A200803)

摘　　要：A class of nonlinear elliptic problems driven by p（x）-Laplacian with a nonsmooth locally Lipschitz potential is considered.By applying the version of the nonsmooth three-critical-point theorem,the existence of three solutions to the problems is proved.A class of nonlinear elliptic problems driven by p（x）-Laplacian with a nonsmooth locally Lipschitz potential is considered.By applying the version of the nonsmooth three-critical-point theorem,the existence of three solutions to the problems is proved.

关 键 词：p（x）-Laplacian differential inclusion problem three-critical-point theorem 

分 类 号：O177[理学—数学]