Multiplicity of elliptic equations involving the p-Laplacian with discontinuous nonlinearities

被引：4

作者：

Heidarkhani, Shapour ^{[1
]}

Gharehgazlouei, Fariba ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Fac Sci, Kermanshah, Iran

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 03期

关键词：

Critical points; non-differentiable functional; multiple radially symmetric solutions; discontinuous nonlinearities; variational methods; NON-DIFFERENTIABLE FUNCTIONALS; CRITICAL-POINTS THEOREM; EIGENVALUE PROBLEMS; R-N; EXISTENCE;

D O I：

10.1080/17476933.2016.1224862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the existence of three radially symmetric solutions for a class of elliptic equations involving the p-Laplacian with discontinuous nonlinearities in the whole space. The proofs are based on three critical points theorems for non-differentiable functionals.

引用

页码：413 / 429

页数：17

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