Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations
type: Item
instance of: scholarly article
title: Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations
zbMATH Open document ID: 0841.46018
DOI: 10.1007/BF01053453
author: Bruno Franchi
author: Guozhen Lu
author: R. L. Wheeden
published in: Potential Analysis
publication date: 1995-11-22T00:00:00Z
review text: The authors prove weighted Poincaré inequalities associated with a family of vector fields satisfying an Hörmander rank condition for any exponent \(p\) greater or equal 1. Applications to relative isoperimetric inequality and to local regularity for a class of degenerate elliptic equations with measurable coefficients are given.
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 819160
zbMATH Keywords: weighted Poincaré inequalities
zbMATH Keywords: vector fields
zbMATH Keywords: Hörmander rank condition
zbMATH Keywords: degenerate elliptic equations with measurable coefficients are given
reviewed by: Marco Biroli
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01053453
OpenAlex ID: W4249286902
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description: scientific article; zbMATH DE number 819160