Stokes' theorem, volume growth and parabolicity

Details Stokes' theorem, volume growth and parabolicity Stokes' theorem, volume growth and parabolicity

2010-05-13

arxiv.org/abs/1005.2343v2

Mathematics

Differential Geometry

15 pages. Corrected typos. Accepted for publication in Tohoku Mathematical Journal

Scientific paper

We present some new Stokes' type theorems on complete non-compact manifolds
that extend, in different directions, previous work by Gaffney and Karp and
also the so called Kelvin-Nevanlinna-Royden criterion for (p-)parabolicity.
Applications to comparison and uniqueness results involving the p-Laplacian are
deduced.

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