We prove the existence of three distinct nontrivial solutions for a class of semilinear elliptic vari- ational inequalities involving a superlinear nonlinearity. The approach is variational and is based on linking and $\nabla$-theorems. Some nonstandard adaptations are required to overcome the lack of the Palais–Smale condition.

Magrone, P., Mugnai, D., Servadei, R. (2006). Multiplicity of solutions for semilinear variational inequalities via linking and $nabla$-theorems. JOURNAL OF DIFFERENTIAL EQUATIONS, 228, 191-225.

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

Magrone Paola;
2006-01-01

Abstract

We prove the existence of three distinct nontrivial solutions for a class of semilinear elliptic vari- ational inequalities involving a superlinear nonlinearity. The approach is variational and is based on linking and $\nabla$-theorems. Some nonstandard adaptations are required to overcome the lack of the Palais–Smale condition.
Magrone, P., Mugnai, D., Servadei, R. (2006). Multiplicity of solutions for semilinear variational inequalities via linking and $nabla$-theorems. JOURNAL OF DIFFERENTIAL EQUATIONS, 228, 191-225.
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/11590/141628
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 18
social impact