Existence of periodic solutions for \(p\)-Laplacian equation without growth restrictions
type: Item
instance of: scholarly article
title: Existence of periodic solutions for \(p\)-Laplacian equation without growth restrictions
zbMATH Open document ID: 1471.34078
author: Minghe Pei
author: Libo Wang
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2021-05-19T00:00:00Z
review text: The paper investigates the periodic \(p\)-Laplacian differential equation \[ (|x'|^{p-2}x')'=f(t,x,x'), \] where \(p>1\) and \(f\) is a continuous function, \(T\)-periodic in the \(t\)-variable. The use of a topological transversality method and a barrier strip technique allows the authors to obtain the existence of \(T\)-periodic solutions without growth assumptions on \(f\) (at \(0\) and at infinity). Moreover, an application to a Rayleigh-type \(p\)-Laplacian equation is illustrated.
reviewed by: Guglielmo Feltrin
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7349809
zbMATH Keywords: \(p\)-Laplacian equation
zbMATH Keywords: periodic solution
zbMATH Keywords: topological transversality
zbMATH Keywords: barrier strip
MaRDI profile type: Publication
full work available at URL: s00033-021-01486-x
OpenAlex ID: W3134057044
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DOI: 10.1007/S00033-021-01486-X
description: scientific article; zbMATH DE number 7349809