Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems

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Abstract: In this paper, existence and multiplicity results for a class of second-order difference equations are established. In particular, the existence of at least one positive solution without requiring any asymptotic condition at infinity on the nonlinear term is presented and the existence of two positive solutions under a superlinear growth at infinity of the nonlinear term is pointed out. The approach is based on variational methods and, in particular, on a local minimum theorem and its variants. It is worth noticing that, in this paper, some classical results of variational methods are opportunely rewritten by exploiting fully the finite dimensional framework in order to obtain novel results for discrete problems.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems ; volume:14 ; number:4 ; year:2014 ; pages:915-939 ; extent:25
Advanced nonlinear studies ; 14, Heft 4 (2014), 915-939 (gesamt 25)

Urheber
Bonanno, Gabriele
Candito, Pasquale
D’Aguí, Giuseppina

DOI
10.1515/ans-2014-0406
URN
urn:nbn:de:101:1-2405031540093.101811613877
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:45 MESZ

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Beteiligte

  • Bonanno, Gabriele
  • Candito, Pasquale
  • D’Aguí, Giuseppina

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