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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.

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Authors and Affiliations

  1. Dipartimento di Fisica e Matematica, Università dell’Insubria – Como, via Valleggio 11, I-22100, Como, Italy

    Stefano Pigola & Alberto G. Setti

  2. Dipartimento di Matematica, Università di Milano, via Saldini 50, I-20133, Milano, Italy

    Marco Rigoli

Authors
  1. Stefano Pigola
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  2. Marco Rigoli
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  3. Alberto G. Setti
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Corresponding author

Correspondence to Stefano Pigola.

Additional information

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

Received: June 2007

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Pigola, S., Rigoli, M. & Setti, A.G. Aspects of Potential Theory on Manifolds, Linear and Non-linear. Milan j. math. 76, 229–256 (2008). https://doi.org/10.1007/s00032-008-0084-1

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  • DOI: https://doi.org/10.1007/s00032-008-0084-1

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