Aspects of Potential Theory on Manifolds, Linear and Non-linear
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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.
Mathematics Subject Classification (2000).Primary 31C12 Secondary 53C21, 58J05
Keywords.Potential theory on manifolds Liouville-type theorems parabolicity stochastic completeness p-Laplacian
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