Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
type: Item
instance of: scholarly article
title: Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
zbMATH Open document ID: 0860.35085
author: J. M. Fraile
author: Pablo Koch-Medina
author: Julián López-Gómez
author: Sandro Merino
published in: Journal of Differential Equations
publication date: 1996-07-09T00:00:00Z
review text: The authors obtain a result concerning the limit of certain sequences of principal eigenvalues associated with some elliptic eigenvalue problems. The result allows to give a complete description of the global structure of the curves of positive steady states of a parameter dependent diffusive version of the classical logistic equation. The stability of the positive steady states and the asymptotic behaviour of positive solutions are also discussed.
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 881711
zbMATH Keywords: curves of positive steady states
zbMATH Keywords: logistic equation
zbMATH Keywords: stability
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0071
OpenAlex ID: W2002027725
DOI: 10.1006/JDEQ.1996.0071
description: scientific article; zbMATH DE number 881711