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arXiv · 1203.3064

Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation

Piotr Graczyk·Tomasz Jakubowski·Tomasz Luks
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Abstract

Let $L=Δ^{α/2}+ b\cdot\nabla$ with $α\in(1,2)$. We prove the Martin representation and the Relative Fatou Theorem for non-negative singular $L$-harmonic functions on ${\mathcal C}^{1,1}$ bounded open sets.

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Piotr Graczyk, Tomasz Jakubowski, Tomasz Luks. 2012-04-15. Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. https://arxiv.org/abs/1203.3064

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