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Systems of Hemivariational Inclusions with Competing Operators

Author

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  • Dumitru Motreanu

    (Department of Mathematics, University of Perpignan, 66860 Perpignan, France)

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.

Suggested Citation

  • Dumitru Motreanu, 2024. "Systems of Hemivariational Inclusions with Competing Operators," Mathematics, MDPI, vol. 12(11), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1766-:d:1409886
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