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Multiplicity of solutions for semilinear variational inequalities via linking and ∇-theorems |
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| Authors: | P. Magrone D. Mugnai |
| Affiliation: | a Dipartimento di Matematica, Università di Roma Tre, Largo S. Leonardo Murialdo, I 00146 Roma, Italy b Dipartimento di Matematica e Informatica, Università di Perugia, via Vanvitelli, I 06123 Perugia, Italy |
| 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 ∇-theorems. Some nonstandard 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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