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Existence of solutions for a class of hemivariational inequality problems

โœ Scribed by Yisheng Huang; Yuying Zhou

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
448 KB
Volume
57
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 mapping hemivariational inequality and elliptic hemivariational inequality are obtained.

๐Ÿ“œ SIMILAR VOLUMES

Existence of three nontrivial solutions
Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities
โœ Antonio Iannizzotto; Nikolaos S. Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 701 KB

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