Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity
- Autori: Papageorgiou, Nikolaos S.*; Vetro, Calogero; Vetro, Francesca
- Anno di pubblicazione: 2019
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/345082
Abstract
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a Caratheodory reaction term which is resonant both at zero and ± ∞. Using the Lyapunov–Schmidt reduction method and critical groups (Morse theory), we show that the problem has at least two nontrivial smooth solutions.