On the best constant of weighted Poincaré inequalities
type: Item
instance of: scholarly article
title: On the best constant of weighted Poincaré inequalities
zbMATH Open document ID: 1222.26033
author: Qiao-Hua Yang
author: Baosheng Lian
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-02-22T00:00:00Z
review text: The optimal constants for some weighted Poincaré inequalities earlier obtained by \textit{F. Ferrari} and \textit{E. Valdinoci} [Indiana Univ. Math. J. 58, No. 4, 1619--1638 (2009; Zbl 1179.35121)] are computed and discussed. Furthermore, some more general weighted Poincaré inequalities are proved and optimal constants also derived.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 5854870
zbMATH Keywords: weighted Poincaré inequalities
zbMATH Keywords: best constant
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.10.027
OpenAlex ID: W2020143218
cites work: Stratified Lie Groups and Potential Theory for their Sub-Laplacians
cites work: An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
cites work: Bernstein and De Giorgi type problems: new results via a geometric approach
cites work: Some weighted Poincare inequalities
cites work: Remarks on a Hardy-Sobolev inequality.
cites work: Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
cites work: Connectivity of phase boundaries in strictly convex domains
cites work: Q4214068
DOI: 10.1016/J.JMAA.2010.10.027
description: scientific article; zbMATH DE number 5854870