In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Using minimax methods based on the nonsmooth critical point theory together with suitable truncation techniques, we show that the problem has at least three nontri
A nontrivial solution of mountain-pass type for a hemivariational inequality
β Scribed by Nikolaos Halidias
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- French
- Weight
- 90 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0007-4497
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β¦ Synopsis
We consider a class of noncoercive hemivariational inequalities involving the p-Laplacian. Our goal is to obtain the existence of a nontrivial solution. Using the mountain-pass theorem for locally Lipschitz functionals we obtain the desired result.
π SIMILAR VOLUMES
In this paper, we are concerned with the existence of solutions for a class of Hartman-Stampacchia type hemivariational inequalities by using the Clarke generalized directional derivative and the Galerkin approximation method. Two existence results of solutions for the generalized pseudomonotone map
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