Multiple solutions for resonant nonlinear periodic equations
type: Item
instance of: scholarly article
title: Multiple solutions for resonant nonlinear periodic equations
zbMATH Open document ID: 1207.34050
author: V. V. Motreanu
author: Nikolaos S. Papageorgiou
author: Dumitru Motreanu
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2010-10-29T00:00:00Z
review text: This paper deals with a nonlinear periodic problem driven by the scalar \(p\)-Laplacian, with a nonlinearity which asymptotically lies between the second and third eigenvalues of the differential operator. Assuming the potential to be negative near the origin, the authors prove the existence of at least three nontrivial periodic solutions. The proof uses variational methods, with rather complicated technicalities.
reviewed by: Alessandro Fonda
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 5808442
zbMATH Keywords: scalar p-Laplacian
zbMATH Keywords: Morse theory
zbMATH Keywords: resonant problems
MaRDI profile type: Publication
full work available at URL: s00030-010-0067-0
OpenAlex ID: W1996018379
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DOI: 10.1007/S00030-010-0067-0
description: scientific article; zbMATH DE number 5808442