Generalized harmonic functions of Riemannian manifolds with ends

被引：0
|
作者：
S. A. Korolkov
A. G. Losev
机构：
[1] Volgograd State University,Department of Mathematics and Information Technology
来源：
Mathematische Zeitschrift | 2012年 / 272卷
关键词：
Liouville theorem; Riemannian manifold; -harmonic function; Boundary problems for ; -harmonic functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study L-harmonic functions (solutions of the stationary Schrödinger equation) on arbitrary noncompact Riemannian manifolds with finitely many ends. We establish some existence and uniqueness results, and obtain sharp dimension estimates for L-harmonic functions on such manifolds.
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页码：459 / 472
页数：13
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