A nonlinear eigenvalue problem for the periodic scalar p-Laplacian
- Autori: Barletta, G.; Livrea, R.; Papageorgiou, N.
- Anno di pubblicazione: 2014
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Constant sign and nodal solutions; Extremal solutions; Parametric equation; Second deformation theorem; Analysis; Applied Mathematics
- OA Link: http://hdl.handle.net/10447/258597
Abstract
We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if $\hat\lambda_1> 0$ is the first eigenvalue of the periodic scalar p-Laplacian and $\lambda>\hat\lambda_1$, then the problem has at least three nontrivial solutions one positive, one negative and the third nodal. Our approach is variational together with suitable truncation, perturbation and comparison techniques.