Rough isometry and the asymptotic Dirichlet problem (Q1281709)
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scientific article; zbMATH DE number 1268105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rough isometry and the asymptotic Dirichlet problem |
scientific article; zbMATH DE number 1268105 |
Statements
Rough isometry and the asymptotic Dirichlet problem (English)
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4 January 2000
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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.
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asymptotic boundary
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rough isometry
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boundary at infinity
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Dirichlet problem
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harmonic function
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Sobolev inequality
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0.95295966
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0.9279812
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0.9177525
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0.9111719
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0.90348256
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0.8978127
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0.89117146
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