Title

Positive solutions for nonlinear hemivariational inequalities

Abstract

In this paper we study the existence of positive solutions for nonlinear problems driven by the p-Laplacian or more generally, by multivalued p-Laplacian-like operators. Both problems have a nonsmooth locally Lipschitz potential (hemivariational inequalities). Using variational methods based on the nonsmooth critical point theory, we prove two existence results with the p-Laplacian and multivalued p-Laplacian-like operators.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.jmaa.2005.01.051

Keywords

Generalized subdifferentials, Locally Lipschitz functions, Nonsmooth C-condition, Nonsmooth critical point theory, p-Laplacian, p-Laplacian-type

Publication Date

10-1-2005

Journal Title

Journal of Mathematical Analysis and Applications

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