Infinitely many solutions for differential inclusion problems in RN involving the p(x)-Laplacian

被引：0

作者：

Ge, Bin ^{[1
]}

Liu, Li-Li ^{[1
]}

机构：

[1] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 01期

基金：

中国国家自然科学基金;

关键词：

p(x)-Laplacian; Differential inclusion problem; Locally Lipschitz function; Genus; VARIABLE EXPONENT; MULTIPLE SOLUTIONS; CRITICAL-POINTS; FUNCTIONALS; EXISTENCE;

D O I：

10.1007/s00033-015-0612-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the differential inclusion problem in R-N involving the p(x)-Laplacian of the type -Delta(p(x))u + V(x)vertical bar u vertical bar(p(x)-2)u is an element of partial derivative F (x,u) in R-N Some new criteria to guarantee that the existence of infinitely many solutions for the considered problem is established by using the genus properties in nonsmooth critical point theory, which extend and complement previously known results in the literature.

引用

页数：16

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