Subelliptic mollifiers and a basic pointwise estimate of Poincaré type
type: Item
instance of: scholarly article
title: Subelliptic mollifiers and a basic pointwise estimate of Poincaré type
zbMATH Open document ID: 0893.35023
DOI: 10.1007/PL00004330
author: Luca Capogna
author: D. Danielli
author: Nicola Garofalo
published in: Mathematische Zeitschrift
publication date: 1997-12-18T00:00:00Z
review text: The paper proves a pointwise estimate which has many remarkable applications in the analysis of PDEs. By means of an elementary argument involving a family of mollifiers taylored on the subelliptic geometry, the authors characterize domains supporting the Poincaré inequality or the compact embedding and derive the proof of the pointwise estimate.
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 1099267
zbMATH Keywords: subelliptic geometry
zbMATH Keywords: Poincaré inequality
zbMATH Keywords: compact embedding
reviewed by: Li Mingzhong
MaRDI profile type: Publication
full work available at URL: pl00004330
OpenAlex ID: W2165542849
description: scientific article; zbMATH DE number 1099267