Harmonic functions on Riemannian manifolds with ends

被引：1

作者：

Korol'kov, S. A. ^{[1
]}

机构：

[1] Volgograd State Univ, Volgograd, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 06期

关键词：

harmonic function; Riemannian manifold; Liouville-type theorem; boundary value problem;

D O I：

10.1007/s11202-008-0101-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1051 / 1061

页数：11

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