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
2015

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.
Hemivariational inequalities; critical point; constraint
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/6221
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact