Geodesic
The boundary Harnack principle for the fractional Laplacian
Studia Mathematica, Tome 123 (1997) no. 1, pp. 43-80

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.
DOI : 10.4064/sm-123-1-43-80
Keywords: boundary Harnack principle, symmetric stable processes, harmonic functions, Lipschitz domains

Krzysztof Bogdan 1

1 
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Krzysztof Bogdan. The boundary Harnack principle for the fractional Laplacian. Studia Mathematica, Tome 123 (1997) no. 1, pp. 43-80. doi: 10.4064/sm-123-1-43-80

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