Positive solutions for nonlinear Robin problems

Diego Averna, Elisabetta Tornatore, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

Abstract

We consider a parametric Robin problem driven by the p-Laplacianwith an indefinite potential and with a superlinear reaction term which doesnot satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions. We prove a bifurcation-type theorem describing the nonexistence,existence and multiplicity of positive solutions as the parameter varies. Wealso show the existence of a minimal positive solution u_λ and establish themonotonicity and continuity of the map λ → u _λ.
Lingua originaleEnglish
pagine (da-a)1-25
Numero di pagine25
RivistaElectronic Journal of Differential Equations
Volume2017
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Analysis

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