Nonlinear nonhomogeneous neumann eigenvalue problems
- Autori: Candito, P.; Livrea, R.; Papageorgiou, N.
- Anno di pubblicazione: 2015
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Concave terms; Critical groups; Extremal constant sign solutions; Maximum principle; Nodal solution; Superlinear reaction;
- OA Link: http://hdl.handle.net/10447/258601
Abstract
We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is (p - 1)-superlinear near ±∞ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.