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

Boundary value problems

Jing Zhang¹ 

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

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

DOI  :  10.1186/s13661-014-0257-5

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY