Robin problems with general potential and double resonance
- Authors: Papageorgiou, N.; Vetro, C.; Vetro, F.
- Publication year: 2017
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/226097
Abstract
We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Carathéodory function exhibiting linear growth near ±∞. We assume that double resonance occurs with respect to any positive spectral interval. Using variational tools and critical groups, we show that the problem has a nontrivial smooth solution.