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Existence of solutions for a class of hemivariational inequality problems

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
57
Issue
9
Identifiers
DOI: 10.1016/j.camwa.2009.01.026
Keywords
  • Hemivariational Inequality
  • Generalized Pseudomonotone Mapping
  • The Clarke Generalized Gradient
  • Galerkin Approximation
  • Eigenvalue

Abstract

Abstract 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.

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