We present some new Stokes' type theorems on complete non-compact manifolds that extend, in different directions, previous works by Gaffiney 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.
Valtorta, D., Veronelli, G. (2011). Stokes' theorem, volume growth and parabolicity. TOHOKU MATHEMATICAL JOURNAL, 63(3), 397-412 [10.2748/tmj/1318338948].
Stokes' theorem, volume growth and parabolicity
Valtorta, D;Veronelli, G
2011
Abstract
We present some new Stokes' type theorems on complete non-compact manifolds that extend, in different directions, previous works by Gaffiney 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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