## Abstract and Applied Analysis

### Existence theorems for elliptic hemivariational inequalities involving the $p$-Laplacian

#### Abstract

We study quasilinear hemivariational inequalities involving the $p$-Laplacian. We prove two existence theorems. In the first, we allow “crossing” of the principal eigenvalue by the generalized potential, while in the second, we incorporate problems at resonance. Our approach is based on the nonsmooth critical point theory for locally Lipschitz energy functionals.

#### Article information

Source
Abstr. Appl. Anal., Volume 7, Number 5 (2002), 259-277.

Dates
First available in Project Euclid: 14 April 2003

https://projecteuclid.org/euclid.aaa/1050348437

Digital Object Identifier
doi:10.1155/S1085337502000908

Mathematical Reviews number (MathSciNet)
MR1908189

Zentralblatt MATH identifier
1007.35031

Subjects
Primary: 35J85

#### Citation

Kourogenis, Nikolaos C.; Papageorgiou, Nikolaos S. Existence theorems for elliptic hemivariational inequalities involving the $p$-Laplacian. Abstr. Appl. Anal. 7 (2002), no. 5, 259--277. doi:10.1155/S1085337502000908. https://projecteuclid.org/euclid.aaa/1050348437

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