Three nontrivial solutions for periodic problems with the \(p\)-Laplacian and a \(p\)-superlinear nonlinearity
type: Item
instance of: scholarly article
title: Three nontrivial solutions for periodic problems with the \(p\)-Laplacian and a \(p\)-superlinear nonlinearity
zbMATH Open document ID: 1172.34011
author: Leszek Gasiński
author: Nikolaos S. Papageorgiou
published in: Communications on Pure and Applied Analysis
publication date: 2009-05-06T00:00:00Z
review text: The paper is concerned with the study of a nonlinear periodic problem driven by the scalar \(p\)-Laplacian and a \(p\)-superlinear growth near \(\pm\infty \). Using a combination of minimax methods based on critical point theory, together with truncation techniques and Morse theoretic arguments, the authors show that this problem has at least three nontrivial solutions, two of which have constant sign.
reviewed by: Nicolae Pop
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 5551457
zbMATH Keywords: scalar \(p\)-Laplacian
zbMATH Keywords: moutain pass theorem
zbMATH Keywords: Morse theory
zbMATH Keywords: Poincare-Hopf formula
MaRDI profile type: Publication
full work available at URL: cpaa.2009.8.1421
OpenAlex ID: W1984833470
Wikidata QID: Q112251822
DOI: 10.3934/CPAA.2009.8.1421
description: scientific article; zbMATH DE number 5551457