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:
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