On the existence of positive solutions for hemivariational inequalities driven by the p-Laplacian

被引：19

作者：

Filippakis, M

Gasinski, L

Papageorgiou, NS

机构：

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

[2] Jagiellonian Univ, Inst Comp Sci, PL-30072 Krakow, Poland

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2005年 / 31卷 / 01期

关键词：

Clarke subdifferential; hemivariational inequality; nonsmooth critical point theory; nonsmooth Cerami condition; nonsmooth Mountain Pass Theorem; p-Laplacian; positive solution; principal eigenvalue and eigenfunction;

D O I：

10.1007/s10898-003-5444-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study nonlinear elliptic problems driven by the p-Laplacian and with a nonsmooth locally Lipschitz potential (hemivariational inequality). We do not assume that the nonsmooth potential satisfies the Ambrosetti-Rabinowitz condition. Using a variational approach based on the nonsmooth critical point theory, we establish the existence of at least one smooth positive solution.

引用

页码：173 / 189

页数：17

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