Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

Abstract

We consider a parametric nonlinear Robin problem driven by the negative p-Laplacian plus an indefinite potential. The equation can be thought as a perturbation of the usual eigenvalue problem. We consider the case where the perturbation f(z, ·) is (p- 1) -sublinear and then the case where it is (p- 1) -superlinear but without satisfying the Ambrosetti–Rabinowitz condition. We establish existence and uniqueness or multiplicity of positive solutions for certain admissible range for the parameter λ∈ R which we specify exactly in terms of principal eigenvalue of the differential operator.
Lingua originaleEnglish
pagine (da-a)1-34
Numero di pagine34
RivistaAnalysis and Mathematical Physics
Volume10
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2603???
  • ???subjectarea.asjc.2600.2602???
  • ???subjectarea.asjc.2600.2610???

Fingerprint

Entra nei temi di ricerca di 'Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential'. Insieme formano una fingerprint unica.

Cita questo