, Volume 76, Issue 1, pp 229-256
Date: 14 Mar 2008

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

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Abstract.

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.

Lecture held by Alberto Setti in the Seminario Matematico e Fisico on November 26, 2007
Received: June 2007