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 $\nabla$-theorems. Some non-standard adaptations are required to overcome the lack of the Palais-Smale condition.
Multiplicity of solutions for semilinear variational inequalities via linking and $\nabla$-theorems
MUGNAI, Dimitri;
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 $\nabla$-theorems. Some non-standard adaptations are required to overcome the lack of the Palais-Smale condition.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.
