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 originaleEnglish
pagine (da-a)1075-1086
Numero di pagine12
RivistaCommunications on Pure and Applied Analysis
Volume13
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Entra nei temi di ricerca di 'A nonlinear eigenvalue problem for the periodic scalar p-Laplacian'. Insieme formano una fingerprint unica.

Cita questo