Aspects of Potential Theory on Manifolds, Linear and Non-linear

被引：0
|
作者：
Stefano Pigola
Marco Rigoli
Alberto G. Setti
机构：
[1] Università dell’Insubria – Como,Dipartimento di Fisica e Matematica
[2] Università di Milano,Dipartimento di Matematica
来源：
Milan Journal of Mathematics | 2008年 / 76卷
关键词：
Primary 31C12; Secondary 53C21, 58J05; Potential theory on manifolds; Liouville-type theorems; parabolicity; stochastic completeness; -Laplacian;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe some aspects of potential theory on Riemannian manifolds, concentrating on Liouville-type theorems and their relationships with the parabolicity and stochastic completeness of the underlying manifold. Some generalizations of these concepts to the case of non-linear operators are also discussed.
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页码：229 / 256
页数：27
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