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.
Titolo: | Multiplicity of solutions for semilinear variational inequalities via linking and $nabla$-theorems |
Autori: | |
Data di pubblicazione: | 2006 |
Rivista: | |
Citazione: | 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. |
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. |
Handle: | http://hdl.handle.net/11590/141628 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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