ON LIOUVILLE THEOREMS FOR HARMONIC FUNCTIONS WITH FINITE DIRICHLET INTEGRAL

DOI10.1070/SM1988v060n02ABEH003182zbMath0699.31018OpenAlexW2001946426MaRDI QIDQ3477138

Alexander Grigor'yan

Publication date: 1988

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1988v060n02abeh003182

zbMATH Keywords

Liouville theoreminvariantharmonic functionssubharmonicnoncompact Riemannian manifoldfinite Dirichlet integralpositivemassive setsD-massivelevel sets ofquasi-isometric transformations

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Potential theory on Riemannian manifolds and other spaces (31C12)

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