On Friedrichs--Poincaré-type inequalities
type: Item
instance of: scholarly article
title: On Friedrichs--Poincaré-type inequalities
zbMATH Open document ID: 1076.26015
author: Weiying Zheng
author: He Qi
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: The aim of the paper is to give direct proofs of Friedrichs-type inequalities in \(H^1(\Omega)\) and Poincaré-type inequalities in convenient subspaces of \(W^{1,p}(\Omega)\), \(1<p<\infty\), under certain assumptions on the domain \(\Omega\). Special attention is paid to the constants appearing in these inequalities and to their dependencies on the domain \(\Omega\).
reviewed by: Bohumír Opic
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 2157699
zbMATH Keywords: Friedrichs-type inequality
zbMATH Keywords: Poincaré-type inequality
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: direct proofs
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.066
OpenAlex ID: W2083820570
cites work: Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
cites work: Q3890207
cites work: Acoustic and electromagnetic equations. Integral representations for harmonic problems
cites work: The interpolation theorem for narrow quadrilateral isoparametric finite elements
cites work: Finite Element Approximations to the Discrete Spectrum of the Schrödinger Operator with the Coulomb Potential
DOI: 10.1016/J.JMAA.2004.09.066
description: scientific article; zbMATH DE number 2157699