Stokes' theorem, volume growth and parabolicity
Differential Geometry
2012-08-21 v2
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.
Cite
@article{arxiv.1005.2343,
title = {Stokes' theorem, volume growth and parabolicity},
author = {Daniele Valtorta and Giona Veronelli},
journal= {arXiv preprint arXiv:1005.2343},
year = {2012}
}
Comments
15 pages. Corrected typos. Accepted for publication in Tohoku Mathematical Journal