# A nonlinear eigenvalue problem for the periodic scalar p-Laplacian

Roberto Livrea, Giuseppina Barletta, Roberto Livrea, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

5 Citazioni (Scopus)

## 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.
Lingua originale English 1075-1086 12 Communications on Pure and Applied Analysis 13 Published - 2014

## All Science Journal Classification (ASJC) codes

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