Rough isometry and the asymptotic Dirichlet problem
type: Item
instance of: scholarly article
title: Rough isometry and the asymptotic Dirichlet problem
zbMATH Open document ID: 0928.58030
author: Hyeong In Choi
author: Seok Woo Kim
author: Yong Hah Lee
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2000-01-04T00:00:00Z
review text: The paper proposes a new asymptotic Dirichlet problem for harmonic functions via the rough isometry on a certain class of Riemannian manifolds. The authors define a suitable class of functions \({\mathcal F}_\varphi\) such that the Dirichlet problem is solvable for this class. The main theorem is a generalization of a result due to Schoen and Yau.
Mathematics Subject Classification ID: 58J32
Mathematics Subject Classification ID: 31C05
Mathematics Subject Classification ID: 31C20
Mathematics Subject Classification ID: 58J05
zbMATH DE Number: 1268105
zbMATH Keywords: asymptotic boundary
zbMATH Keywords: rough isometry
zbMATH Keywords: boundary at infinity
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: harmonic function
zbMATH Keywords: Sobolev inequality
reviewed by: Vicenţiu D. Rădulescu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178224933
OpenAlex ID: W2037463148
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DOI: 10.2748/TMJ/1178224933
Wikidata QID: Q125688039
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description: scientific article; zbMATH DE number 1268105