We study the existence and multiplicity of nonnegative solutions for some parametric variational-hemivariational inequalities, driven by a possibly nonhomogeneous operator and involving a nonlinear term that may have critical growth. Our problem incorporates, as a special case the classical $p$-Laplacian with small perturbations.

Existence results for a class of Dirichlet parametric boundary value problems with non smooth potential / Barletta, Giuseppina. - In: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. - ISSN 1345-4773. - 16:4(2015), pp. 597-613.

Existence results for a class of Dirichlet parametric boundary value problems with non smooth potential

BARLETTA, Giuseppina
2015-01-01

Abstract

We study the existence and multiplicity of nonnegative solutions for some parametric variational-hemivariational inequalities, driven by a possibly nonhomogeneous operator and involving a nonlinear term that may have critical growth. Our problem incorporates, as a special case the classical $p$-Laplacian with small perturbations.
2015
Hemivariational inequalities; critical point; constraint
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/6221
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