Alternate steady states for classes of reaction diffusion models on exterior domains
type: Item
instance of: scholarly article
title: Alternate steady states for classes of reaction diffusion models on exterior domains
zbMATH Open document ID: 1314.34049
author: Dagny Butler
author: Eunkyung Ko
author: R. Shivaji
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2014-12-05T00:00:00Z
review text: Positive radial solutions are obtained for the semilinear equation in the exterior domain with a certain range of the parameter leading to the occurrence of an S-shaped bifurcation curve when the nonlinearity satisfies some additional assumptions. The method of sub-supersolution is applied. In addition, two models arisen in the study of ecosystems are also considered.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 6376969
zbMATH Keywords: sub-supersolution method
zbMATH Keywords: Steady states
zbMATH Keywords: exterior domains
reviewed by: Yang Yang
MaRDI profile type: Publication
full work available at URL: dcdss.2014.7.1181
OpenAlex ID: W2328759330
cites work: Nonresonant singular two-point boundary value problems
cites work: On the existence and multiplicity of positive solutions of the \(p\)-Laplacian separated boundary value problem
cites work: Existence of alternate steady states in a phosphorous cycling model
cites work: Positive solutions for infinite semipositone problems on exterior domains.
cites work: S-shaped bifurcation curves in ecosystems
DOI: 10.3934/DCDSS.2014.7.1181
description: scientific article; zbMATH DE number 6376969