Multiplicity of solutions for semilinear variational inequalities via linking and ∇-theorems
Autor: | Paola Magrone, Dimitri Mugnai, Raffaella Servadei |
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Rok vydání: | 2006 |
Předmět: |
∇-theorems
Pure mathematics Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Semilinear elliptic variational inequalities linking theorems $\nabla$-theorems local Palais-Smale condition Multiplicity (mathematics) $\nabla$-theorems local Palais-Smale condition Local Palais–Smale condition Nonlinear system Linking theorems Palais–Smale compactness condition Variational inequality Semilinear elliptic variational inequalities linking theorems Analysis Mathematics |
Zdroj: | Journal of Differential Equations. 228(1):191-225 |
ISSN: | 0022-0396 |
DOI: | 10.1016/j.jde.2005.10.010 |
Popis: | 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. |
Databáze: | OpenAIRE |
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