On the Existence of Positive Solutions for Hemivariational Inequalities Driven by the p-Laplacian

被引：0

作者：

Michael Filippakis

Leszek Gasiński

Nikolaos S. Papageorgiou

机构：

[1] National Technical University,Department of Mathematics

[2] Jagiellonian University,Institute of Computer Science

来源：

Journal of Global Optimization | 2005年 / 31卷

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：

暂无

中图分类号：

学科分类号：

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：16

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