Existence of solutions for hyperbolic hemivariational inequalities
type: Item
instance of: scholarly article
title: Existence of solutions for hyperbolic hemivariational inequalities
zbMATH Open document ID: 1022.49014
DOI: 10.1016/S0022-247X(02)00431-6
author: Leszek Gasiński
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The paper deals with the study of a hyperbolic hemivariational inequality involving both a nonlinear pseudomonotone operator depending on the derivative of an unknown function, and a linear, monotone operator which depends on an unknown function. The main result of the paper establishes the existence of a nontrivial weak solution for this class of inequality problems. The proof is based on a surjectivity result for \(L\)-pseudomonotone operators, combined with standard techniques in the Clarke nonsmooth critical point theory.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35L85
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 1866774
zbMATH Keywords: hyperbolic hemivariational inequality
zbMATH Keywords: existence results
zbMATH Keywords: pseudomonotone operator
zbMATH Keywords: Clarke nonsmooth critical point theory
Wikidata QID: Q112251862
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866774