Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities

IANNIZZOTTO, ANTONIO;
2009-01-01

Abstract

In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Using minimax methods based on the nonsmooth critical point theory together with suitable truncation techniques, we show that the problem has at least three nontrivial smooth solutions. Two of these solutions have constant sign (one is positive, the other negative).
2009
Inglese
70
9
3285
3297
13
Esperti anonimi
internazionale
scientifica
p-Laplacian; Minimax methods; Truncations; Locally Lipschitz potentials
Iannizzotto, Antonio; Papageorgiou, N. S.
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
2
reserved
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