Multiple solutions for nonlinear Sturm-Liouville differential equations with possibly negative variable coefficients
type: Item
instance of: scholarly article
title: Multiple solutions for nonlinear Sturm-Liouville differential equations with possibly negative variable coefficients
author: Eleonora Amoroso
author: Gabriele Bonanno
author: Giuseppina D'Aguì
author: Salvatore Foti
published in: Nonlinear Analysis. Real World Applications
publication date: 2022-11-11T00:00:00Z
review text: In this paper, the authors studied the multiplicity of solutions for a parameter-dependent boundary value problem with a Sturm-Liouville second order differential equation and Dirichlet conditions. By requiring a suitable behavior on the nonlinearity, they determined an interval of parameter \(\lambda\) for which the problem admits three or infinitely many solutions. The main novelty of this paper is that they applied results of multiple critical points to complete Sturm-Liouville equations where you can have also negative coefficients.
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 7614821
zbMATH Keywords: critical point
zbMATH Keywords: Sturm-Liouville equations
zbMATH Keywords: nonlinear differential problems
reviewed by: Hanying Feng
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2022.103730
OpenAlex ID: W4292096625
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DOI: 10.1016/J.NONRWA.2022.103730
description: scientific article; zbMATH DE number 7614821