Existence and multiplicity of solutions for non linear elliptic Dirichlet systems
- Autori: Tornatore, E; Bonanno, G
- Anno di pubblicazione: 2012
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Elliptic systems, variational problems, multiple solutions
- OA Link: http://hdl.handle.net/10447/66944
Abstract
The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, or two, or three solutions is established. Our approach is based on variational methods.