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.File in questo prodotto:
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