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arXiv · 1005.2343

Stokes' theorem, volume growth and parabolicity

Daniele Valtorta·Giona Veronelli
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Abstract

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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Daniele Valtorta, Giona Veronelli. 2011-05-25. Stokes' theorem, volume growth and parabolicity. https://doi.org/10.2748/tmj%2F1318338948

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