On the Existence of Three Nontrivial Solutions for Periodic Problems Driven by the Scalar p-Laplacian

被引：0

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Papalini, Francesca ^{[2
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[2] Polytech Univ Marche, Dept Math Sci, I-60131 Ancona, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2011年 / 11卷 / 02期

关键词：

Scalar p-Laplacian; periodic problem; nonsmooth second deformation theorem; three nontrivial solutions; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential function. First we establish an alternative minimax expression for the first nonzero eigenvalue for the negative periodic scalar p-Laplacian and then using it we prove the existence of three nontrivial solutions, two of which have constant sign. Our approach is variational, based on the nonsmooth critical point theory.

引用

页码：455 / 471

页数：17

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