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.
2006
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/160715
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