Open Access
2011 Stokes' theorem, volume growth and parabolicity
Daniele Valtorta, Giona Veronelli
Tohoku Math. J. (2) 63(3): 397-412 (2011). DOI: 10.2748/tmj/1318338948

Abstract

We present some new Stokes' type theorems on complete non-compact manifolds that extend, in different directions, previous works 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.

Citation

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Daniele Valtorta. Giona Veronelli. "Stokes' theorem, volume growth and parabolicity." Tohoku Math. J. (2) 63 (3) 397 - 412, 2011. https://doi.org/10.2748/tmj/1318338948

Information

Published: 2011
First available in Project Euclid: 11 October 2011

zbMATH: 1232.26011
MathSciNet: MR2851103
Digital Object Identifier: 10.2748/tmj/1318338948

Subjects:
Primary: 35B05
Secondary: 31C45

Keywords: $p$-parabolicity , Kelvin-Nevanlinna-Royden criterion , Stokes' theorem

Rights: Copyright © 2011 Tohoku University

Vol.63 • No. 3 • 2011
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