A sequence of positive solutions for sixth-order ordinary nonlinear differential problems

Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.

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Bibliographic Details
Published inElectronic journal of qualitative theory of differential equations Vol. 2021; no. 20; pp. 1 - 17
Main Authors Bonanno, Gabriele, Livrea, Roberto
Format Journal Article
LanguageEnglish
Published University of Szeged 01.01.2021
Subjects
critical points
infinitely many solutions
sixth-order equations
Online AccessGet full text
ISSN1417-3875
1417-3875
DOI10.14232/ejqtde.2021.1.20

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Summary:Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2021.1.20