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Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance

✍ Scribed by Jinguo Zhang; Yuying Zhou

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
248 KB
Volume
74
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Existence of solutions for a class of he
Existence of solutions for a class of hemivariational inequality problems
✍ Yisheng Huang; Yuying Zhou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 448 KB

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

A nontrivial solution of mountain-pass t
A nontrivial solution of mountain-pass type for a hemivariational inequality
✍ Nikolaos Halidias πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 French βš– 90 KB

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.

Nontrivial solutions for a class of reso
Nontrivial solutions for a class of resonant -Laplacian Neumann problems
✍ Leszek GasiΕ„ski; Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 451 KB

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a Carathéodory reaction term. We assume that asymptotically at infinity resonance occurs with respect to the principal eigenvalue λ 0 = 0 (i.e., the reaction term is p -1sublinear near +∞). Using variational