Systems of Hemivariational Inclusions with Competing Operators

Dumitru Motreanu ()
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Dumitru Motreanu: Department of Mathematics, University of Perpignan, 66860 Perpignan, France

Mathematics, 2024, vol. 12, issue 11, 1-11

Abstract: This paper focuses on a system of differential inclusions expressing hemivariational inequalities driven by competing operators constructed with p -Laplacians that involve two real parameters. The existence of a generalized solution is shown by means of an approximation process through approximate solutions in finite dimensional spaces. When the parameters are negative, the generalized solutions become weak solutions. The main novelty of this work is the solvability of systems of differential inclusions for which the ellipticity condition may fail.

Keywords: system of differential inclusions; hemivariational inequalities; competing operators; p -Laplacian; Galerkin basis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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