Aspects of Potential Theory on Manifolds, Linear and Non-linear
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- Pigola, S., Rigoli, M. & Setti, A.G. Milan j. math. (2008) 76: 229. doi:10.1007/s00032-008-0084-1
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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.