Multiple solutions for strongly resonant Robin problems

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

Abstract

We consider nonlinear (driven by the p-Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems producing up to four nontrivial smooth solutions.
Lingua originaleEnglish
pagine (da-a)1147-1167
Numero di pagine21
RivistaMathematische Nachrichten
Volume291
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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