Stokes' theorem, volume growth and parabolicity

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.

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

References in corpus (1)

• The connectivity at infinity of a manifold and $L^{q,p}$-Sobolev inequalities

Cited by in corpus (1)

• On the equivalence of stochastic completeness, Liouville and Khas'minskii condition in linear and nonlinear setting