Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian

Sylwia Barnaś

Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 34 (2014), p. 15-39 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang [6] and the properties of variational Sobolev spaces, we establish conditions which ensure the existence of solution for our problem.

Détail

Publié le : 2014-01-01

Zbl 1331.35349

EUDML-ID : urn:eudml:doc:270445

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