Multiple solutions for strongly resonant Robin problems
- Autori: Papageorgiou, Nikolaos S.; Vetro, Calogero*; Vetro, Francesca
- Anno di pubblicazione: 2018
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/289128
Abstract
We consider nonlinear (driven by the p-Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems producing up to four nontrivial smooth solutions.