Gagliardo-Nirenberg inequalities on manifolds
type: Item
instance of: scholarly article
title: Gagliardo-Nirenberg inequalities on manifolds
zbMATH Open document ID: 1157.58014
author: Nadine Badr
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-11-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/0707.2130
review text: Gagliardo-Nirenberg inequalities on some classes of manifolds, Lie groups and graphs are deduced by the Martin-Milman method [see \textit{J. Martin} and \textit{M. Milman}, Math. Res. Lett. 14, No.~1, 49--62 (2007; Zbl 1126.46018); \textit{T. Rivière} and \textit{P. Strzelecki}, Commun. Partial Differ. Equations 30, No. 4, 589--604 (2005; Zbl 1157.35376)].
reviewed by: Maido Rahula
Mathematics Subject Classification ID: 58J99
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 39B72
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5362175
zbMATH Keywords: Gagliardo
zbMATH Keywords: Nirenberg
zbMATH Keywords: symmetrization
zbMATH Keywords: Sobolev space
zbMATH Keywords: interpolation
MaRDI profile type: Publication
OpenAlex ID: W2032513633
arXiv ID: 0707.2130
cites work: Q4667206
cites work: Q4093975
cites work: Real interpolation of Sobolev spaces
cites work: Nonlinear approximation and the space BV[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]
cites work: Q4831592
cites work: Isoperimetricity for groups and manifolds
cites work: Q3607418
cites work: Some remarks on gradient estimates for heat kernels
cites work: Heat kernel estimates and Riesz transforms on some Riemannian covering manifolds
cites work: Symmetrization and sharp Sobolev inequalities in metric spaces
cites work: Modulus and the Poincaré inequality on metric measure spaces
cites work: The Poincaré inequality is an open ended condition
cites work: Q5664399
cites work: On improved Sobolev embedding theorems
cites work: Sharp Gagliardo-Nirenberg inequalities via symmetrization
cites work: A Sharp Nonlinear Gagliardo–Nirenberg-Type Estimate and Applications to the Regularity of Elliptic Systems
cites work: Aspects of Sobolev-type inequalities
cites work: Q5640160
cites work: GAGLIARDO–NIRENBERG INEQUALITIES WITH A BMO TERM
DOI: 10.1016/J.JMAA.2008.09.013
description: scientific article