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.

Papageorgiou, N., Vetro, C., Vetro, F. (2017). Robin problems with general potential and double resonance. APPLIED MATHEMATICS LETTERS, 68, 122-128 [10.1016/j.aml.2017.01.003].

Robin problems with general potential and double resonance

VETRO, Calogero;VETRO, Francesca
2017-01-01

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.
2017
Papageorgiou, N., Vetro, C., Vetro, F. (2017). Robin problems with general potential and double resonance. APPLIED MATHEMATICS LETTERS, 68, 122-128 [10.1016/j.aml.2017.01.003].
File in questo prodotto:
File Dimensione Formato  
2017_AML_PapageorgiouVetroVetro.pdf

Solo gestori archvio

Descrizione: Articolo principale
Dimensione 766.36 kB
Formato Adobe PDF
766.36 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/226097
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact