We prove the existence of three distinct nontrivial solutions for a class of semilinear elliptic vari- ational inequalities involving a superlinear nonlinearity. The approach is variational and is based on linking and $\nabla$-theorems. Some nonstandard adaptations are required to overcome the lack of the Palais–Smale condition.

Magrone, P., Mugnai, D., Servadei, R. (2006). Multiplicity of solutions for semilinear variational inequalities via linking and $nabla$-theorems. JOURNAL OF DIFFERENTIAL EQUATIONS, 228, 191-225.

Multiplicity of solutions for semilinear variational inequalities via linking and $nabla$-theorems

Magrone Paola;
2006-01-01

Abstract

We prove the existence of three distinct nontrivial solutions for a class of semilinear elliptic vari- ational inequalities involving a superlinear nonlinearity. The approach is variational and is based on linking and $\nabla$-theorems. Some nonstandard adaptations are required to overcome the lack of the Palais–Smale condition.
2006
Magrone, P., Mugnai, D., Servadei, R. (2006). Multiplicity of solutions for semilinear variational inequalities via linking and $nabla$-theorems. JOURNAL OF DIFFERENTIAL EQUATIONS, 228, 191-225.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/141628
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