Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

Abstract

We consider a parametric nonlinear Robin problem driven by a nonhomogeneous differential operator. The reaction is a Carathéodory function which is only locally defined (that is, the hypotheses concern only its behaviour near zero). The conditions on the reaction are minimal. Using variational tools together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter λ > 0, the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal.
Lingua originaleEnglish
pagine (da-a)191-205
Numero di pagine15
RivistaApplicable Analysis
Volume100
Stato di pubblicazionePublished - 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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