Rough isometry and the asymptotic dirichlet problem

Hyeong In Choi; Seok Woo Kim; Yong Hah Lee

doi:10.2748/tmj/1178224933

Rough isometry and the asymptotic dirichlet problem

Hyeong In Choi, Seok Woo Kim, Yong Hah Lee

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We propose a new asymptotic Dirichlet problem for harmonic functions via the rough isometry on a certain class of Riemannian manifolds. We prove that this problem is solvable for naturally defined class of functions. This result generalizes those of Schoen and Yau and of Cheng.

Original language	English
Pages (from-to)	333-348
Number of pages	16
Journal	Tohoku Mathematical Journal
Volume	50
Issue number	3
DOIs	https://doi.org/10.2748/tmj/1178224933
State	Published - 1 Jan 1998

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title = "Rough isometry and the asymptotic dirichlet problem",

abstract = "We propose a new asymptotic Dirichlet problem for harmonic functions via the rough isometry on a certain class of Riemannian manifolds. We prove that this problem is solvable for naturally defined class of functions. This result generalizes those of Schoen and Yau and of Cheng.",

author = "\{In Choi\}, Hyeong and Kim, \{Seok Woo\} and Lee, \{Yong Hah\}",

year = "1998",

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T1 - Rough isometry and the asymptotic dirichlet problem

AU - In Choi, Hyeong

AU - Kim, Seok Woo

AU - Lee, Yong Hah

PY - 1998/1/1

Y1 - 1998/1/1

N2 - We propose a new asymptotic Dirichlet problem for harmonic functions via the rough isometry on a certain class of Riemannian manifolds. We prove that this problem is solvable for naturally defined class of functions. This result generalizes those of Schoen and Yau and of Cheng.

AB - We propose a new asymptotic Dirichlet problem for harmonic functions via the rough isometry on a certain class of Riemannian manifolds. We prove that this problem is solvable for naturally defined class of functions. This result generalizes those of Schoen and Yau and of Cheng.

UR - https://www.scopus.com/pages/publications/0032359411

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DO - 10.2748/tmj/1178224933

M3 - Article

AN - SCOPUS:0032359411

SN - 0040-8735

VL - 50

SP - 333

EP - 348

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

IS - 3

ER -

Rough isometry and the asymptotic dirichlet problem

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