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

被引：0

作者：

Jing Zhang

机构：

[1] Harbin Normal University,Y.Y. Tseng Functional Analysis Research Center

来源：

Boundary Value Problems | / 2014卷

关键词：

p-Laplacian; nonsmooth potential; hemivariational inequality; sub-sup solution method; second deformation theorem;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

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[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (01): : 13 - 28

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