Rough isometry and Dirichlet finite harmonic functions on Riemannian manifolds

DOI10.1007/S002290050175zbMath0934.31005OpenAlexW2005142804WikidataQ115388421 ScholiaQ115388421MaRDI QIDQ1296393

Yong Hah Lee

Publication date: 27 January 2000

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050175

zbMATH Keywords

Poincaré inequalityharmonic boundarySobolev inequalityextremal length\(D\)-Liouville propertyRoyden's decomposition

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Discrete potential theory (31C20)

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