Robin problems with general potential and double resonance

Calogero Vetro; Francesca Vetro; Nikolaos S. Papageorgiou

Robin problems with general potential and double resonance

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Matematica e Informatica

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 originale	English
pagine (da-a)	122-128
Numero di pagine	7
Rivista	Applied Mathematics Letters
Volume	68
Stato di pubblicazione	Published - 2017

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Robin problems with general potential and double resonance",

abstract = "We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Carath{\'e}odory 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.",

author = "Calogero Vetro and Francesca Vetro and Papageorgiou, {Nikolaos S.}",

year = "2017",

language = "English",

volume = "68",

pages = "122--128",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

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TY - JOUR

T1 - Robin problems with general potential and double resonance

AU - Vetro, Calogero

AU - Vetro, Francesca

AU - Papageorgiou, Nikolaos S.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/226097

UR - http://www.journals.elsevier.com/applied-mathematics-letters/

M3 - Article

VL - 68

SP - 122

EP - 128

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

ER -