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.

引用

页码：229 / 256

页数：27

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