Stokes' theorem, volume growth and parabolicity
Copyright policy )Stokes' theorem, volume growth and parabolicity
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
- University of Milan Italy
- University of Milano-Bicocca Italy
Mathematics - Differential Geometry, $p$-parabolicity, 35B05, 31C45, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, 31C12, 53C43, \(p\)-parabolicity, Kelvin-Nevanlinna-Royden criterion; P-parabolicity; Stokes' theorem; This work is partially supported by GNAMPA-INdAM;, Stokes theorem, Stokes' theorem, Differential Geometry (math.DG), Kelvin-Nevanlinna-Royden criterion, FOS: Mathematics, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), Other generalizations (nonlinear potential theory, etc.)
Mathematics - Differential Geometry, $p$-parabolicity, 35B05, 31C45, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, 31C12, 53C43, \(p\)-parabolicity, Kelvin-Nevanlinna-Royden criterion; P-parabolicity; Stokes' theorem; This work is partially supported by GNAMPA-INdAM;, Stokes theorem, Stokes' theorem, Differential Geometry (math.DG), Kelvin-Nevanlinna-Royden criterion, FOS: Mathematics, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), Other generalizations (nonlinear potential theory, etc.)
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