Existence of solutions for nonlinear Robin problems with the p-Laplacian and hemivariational inequality

被引：0

作者：

Zhang, Jing ^{[1
]}

机构：

[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

p-Laplacian; nonsmooth potential; hemivariational inequality; sub-sup solution method; second deformation theorem; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS; WEAK SOLUTIONS;

D O I：

10.1186/s13661-014-0257-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show the existence of at least three nontrivial solutions for a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Robin boundary condition. Two of these solutions are of constant sign (one is positive, the other negative). We mainly use a variational approach together with a sub-sup solution method.

引用

页数：18

共 50 条

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