We prove the existence of three distinct nontrivial solutions for a class of semilinear elliptic variational inequalities involving a superlinear nonlinearity. The approach is variational and is based on linking and del-theorems. Some nonstandard adaptations are required to overcome the lack of the Palais-Smale condition. (c) 2005 Elsevier Inc. All rights reserved.

Multiplicity of solutions for semilinear variational inequalities via linking and del-theorems

SERVADEI, RAFFAELLA
2006

Abstract

We prove the existence of three distinct nontrivial solutions for a class of semilinear elliptic variational inequalities involving a superlinear nonlinearity. The approach is variational and is based on linking and del-theorems. Some nonstandard adaptations are required to overcome the lack of the Palais-Smale condition. (c) 2005 Elsevier Inc. All rights reserved.
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: https://hdl.handle.net/11576/2626823
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 21
  • ???jsp.display-item.citation.isi??? 20
social impact