Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions
type: Item
instance of: scholarly article
title: Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions
zbMATH Open document ID: 0959.35096
author: C. De Coster
author: Pierpaolo Omari
published in: Journal of Functional Analysis
publication date: 2001-04-26T00:00:00Z
review text: The authors prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution \(\alpha\) and an upper solution \(\beta\) which do not satisfy the ordering condition \(\alpha\leq \beta\). The results yield the existence of unstable solutions, localized by means of \(\alpha\) and \(\beta\), requiring weak regularity of the coefficients of the equation.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 1507745
zbMATH Keywords: Dirichlet-periodic problem
zbMATH Keywords: existence of unstable solutions
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
full work available at URL: jfan.2000.3600
OpenAlex ID: W2051784420
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DOI: 10.1006/JFAN.2000.3600
description: scientific article; zbMATH DE number 1507745