Published Paper

Inserted: 7 nov 2007

Journal: J. Differential Equations
Volume: 228
Number: 1
Pages: 191-225
Year: 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.

Keywords: Semilinear elliptic variational inequalities, Linking theorems, $\nabla$-theorems, Local Palais-Smale condition

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