Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli
type: Item
instance of: scholarly article
title: Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli
zbMATH Open document ID: 1332.35154
author: Goro Akagi
author: Ryuji Kajikiya
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2014-12-09T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 6378480
zbMATH Keywords: fast diffusion equation
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: asymptotic profile
zbMATH Keywords: stability analysis
zbMATH Keywords: symmetry breaking
MaRDI profile type: Publication
full work available at URL: j.anihpc.2013.08.006
OpenAlex ID: W2061955901
cites work: Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations
cites work: Stability of the separable solution for fast diffusion
cites work: Asymptotic behavior of the nonlinear diffusion equation n t = (n−1n x)x
cites work: Asymptotics of the fast diffusion equation via entropy estimates
cites work: Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
cites work: Behaviour near extinction for the fast diffusion equation on bounded domains
cites work: Fast diffusion flow on manifolds of nonpositive curvature
cites work: Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
cites work: Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
cites work: A nonlinear boundary value problem with many positive solutions
cites work: On the number of positive solutions of some weakly nonlinear equations on annular regions
cites work: Convergence for semilinear degenerate parabolic equations in several space dimensions
cites work: Symmetry and related properties via the maximum principle
cites work: Q3856819
cites work: Asymptotic behavior of a plasma type equation with finite extinction
cites work: Existence of many positive solutions of semilinear equations on annulus
cites work: Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)
cites work: Uniqueness of solutions of nonlinear Dirichlet problems
cites work: The asymptotic profile of solutions of a class of doubly nonlinear equations
DOI: 10.1016/J.ANIHPC.2013.08.006
Recommended article: Stability analysis of asymptotic profiles for fast diffusion equations
Recommended article: Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations
Recommended article: Stability of non-isolated asymptotic profiles for fast diffusion
Recommended article: Symmetry of positive solutions of an almost-critical problem in an annulus
Recommended article: The stability of the solutions of an anisotropic diffusion equation
Recommended article: Q5395534
Recommended article: Asymptotic behaviour of blow-up solutions of the fast diffusion equation
Recommended article: Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations
Recommended article: The Degeneracy of a Fast-Diffusion Equation and Stability
description: scientific article; zbMATH DE number 6378480