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arxiv: 1005.2343 · v2 · pith:CJAKH54Unew · submitted 2010-05-13 · 🧮 math.DG

Stokes' theorem, volume growth and parabolicity

classification 🧮 math.DG
keywords parabolicitystokesapplicationscalledcomparisoncompletecriteriondeduced
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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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