On the monotonicity of the time-map
type: Item
instance of: scholarly article
title: On the monotonicity of the time-map
zbMATH Open document ID: 0673.34008
DOI: 10.1016/0022-0396(89)90145-9
published in: Journal of Differential Equations
publication date: 1989-01-01T00:00:00Z
review text: The authors deal with the equation \(\Delta u(x)+f(u(x))=0,\) \(| x| <R\) together with the boundary conditions \(\alpha u(x)-\beta du(x)/dn=0,\) \(| x| =R\), and investigate the monotonicity of the time map \(p\mapsto T(p)\), \(p=u(0)\) which plays an important role in the behaviour of radical solutions and in symmetry breaking.
reviewed by: E.Barvinek
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 4101612
zbMATH Keywords: monotonicity of the time map
zbMATH Keywords: radical solutions
author: Joel Smoller
author: Arthur G. Wasserman
MaRDI profile type: Publication
full work available at URL: 0022-0396(89)90145-9
OpenAlex ID: W2057480953
cites work: Q3811030
cites work: Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
cites work: Symmetry-breaking for positive solutions of semilinear elliptic equations
cites work: Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
cites work: Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking
description: scientific article; zbMATH DE number 4101612