## Differential and Integral Equations

### On a Neumann problem with $p$-Laplacian and non-smooth potential

#### Abstract

Three existence results for a homogeneous Neumann problem with partial {$p$}-Laplacian and non-smooth potential (i.e., hemivariational inequality) are established through a locally Lipschitz continuous version of the classical mountain pass theorem.

#### Article information

Source
Differential Integral Equations, Volume 19, Number 11 (2006), 1301-1320.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356050303

Mathematical Reviews number (MathSciNet)
MR2278008

Zentralblatt MATH identifier
1212.35084

Subjects
Primary: 35J20
Secondary: 35J85 49J40

#### Citation

Marano, Salvatore A.; Papageorgiou, Nikolaos S. On a Neumann problem with $p$-Laplacian and non-smooth potential. Differential Integral Equations 19 (2006), no. 11, 1301--1320. https://projecteuclid.org/euclid.die/1356050303