Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian
zbMATH Open document ID: 1090.35096
DOI: 10.1016/S1631-073X(02)02225-2
author: Jean Dolbeault
author: Manuel del Pino
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-01-01T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1754759
MaRDI profile type: Publication
cites work: ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
cites work: Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
cites work: Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
cites work: Degenerate parabolic equations
cites work: The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
cites work: Fundamental solutions and asymptotic behaviour for the p-Laplacian equations
cites work: THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
cites work: Uniqueness of ground states for quasilinear elliptic equations
cites work: Sur l'inégalité logarithmique de Sobolev
full work available at URL: s1631-073x(02)02225-2
OpenAlex ID: W1990783209
description: scientific article; zbMATH DE number 1754759