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.
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页数：18
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