Robin problems with general potential and double resonance

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Article

1 Citazioni (Scopus)

Abstract

We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Carathéodory function exhibiting linear growth near ±∞. We assume that double resonance occurs with respect to any positive spectral interval. Using variational tools and critical groups, we show that the problem has a nontrivial smooth solution.
Lingua originaleEnglish
pagine (da-a)122-128
Numero di pagine7
RivistaApplied Mathematics Letters
Volume68
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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