Weighted Poincaré inequalities on one-dimensional unbounded domains
type: Item
instance of: scholarly article
title: Weighted Poincaré inequalities on one-dimensional unbounded domains
zbMATH Open document ID: 1051.46020
DOI: 10.1016/S0893-9659(03)90108-X
author: Wanyi Wang
author: Zhiming Zheng
author: Jiong Sun
published in: Applied Mathematics Letters
publication date: 2004-06-11T00:00:00Z
review text: The authors establish sufficient conditions which guarantee that weighted Poincaré inequalities hold on convenient subsets of weighted Sobolev spaces \(W^{m, p} (\Omega; x^{\alpha}, x^{\beta})\) or \(W^{m, p} (\Omega, w, w).\) Here \(\Omega\) is either the interval \((a, \infty)\) with \(a > 0\) (in the former case) or \([0, \infty)\) (in the latter case).
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 2073827
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: Poincaré inequalities
zbMATH Keywords: unbounded domains
reviewed by: Bohumír Opic
MaRDI profile type: Publication
cites work: SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES
cites work: Q3764747
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cites work: Weighted Poincaré and Friedrichs Inequalities
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cites work: Q4199146
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full work available at URL: s0893-9659(03)90108-x
OpenAlex ID: W2064551366
description: scientific article; zbMATH DE number 2073827