Harmonic functions on Riemannian manifolds with ends

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作者
S. A. Korol’kov
机构
[1] Volgograd State University,
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关键词
harmonic function; Riemannian manifold; Liouville-type theorem; boundary value problem;
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摘要
We study the problem of solvability of some boundary value problems on noncompact Riemannian manifolds with ends. We obtain the conditions for existence and uniqueness of solutions to the problems as well as the conditions for the fulfillment of Liouville-type theorems for harmonic functions on the manifolds.
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