On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE
type: Item
instance of: scholarly article
title: On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE
zbMATH Open document ID: 1116.35030
DOI: 10.1007/BF02930723
author: András Domokos
author: M. S. Fanciullo
published in: The Journal of Geometric Analysis
publication date: 2007-06-04T00:00:00Z
review text: The authors find in the paper the best constant for the Friederichs-Knapp-Stein inequality relative to the free nilpotent group of step two with \(2n\) generators and use the result to prove the second-order differentiability of subelliptic \(p\)-harmonic functions for \(p\) in a suitable interval.
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 43A80
zbMATH DE Number: 5160938
zbMATH Keywords: Subelliptic PDE
zbMATH Keywords: Free nilpotent groups
zbMATH Keywords: second-order differentiability
zbMATH Keywords: subelliptic \(p\)-harmonic functions
Wikidata QID: Q115391081
reviewed by: Marco Biroli
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02930723
OpenAlex ID: W2005248088
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description: scientific article; zbMATH DE number 5160938