Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

1 Citazioni (Scopus)

Abstract

We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a Caratheodory reaction term which is resonant both at zero and ± ∞. Using the Lyapunov–Schmidt reduction method and critical groups (Morse theory), we show that the problem has at least two nontrivial smooth solutions.
Lingua originaleEnglish
pagine (da-a)487-503
Numero di pagine17
RivistaManuscripta Mathematica
Volume158
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

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