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

Autor: Paola Magrone, Dimitri Mugnai, Raffaella Servadei
Rok vydání: 2006
Předmět:
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