Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222548 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 18 Pages |
Abstract
We give the explicit formulas for the Green function and the Martin kernel for all integer and fractional powers of the Laplacian s>1 in balls. As consequences, we deduce interior and boundary regularity estimates for solutions to linear problems and positivity preserving properties. Our proofs rely on a characterization of suitable s-harmonic functions and on a differential recurrence equation.
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Authors
Nicola Abatangelo, Sven Jarohs, Alberto Saldaña,