Geodesic
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball
Fractional calculus and applied analysis, Tome 8 (2005) no. 3, pp. 247-265.

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We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
Keywords: α-Harmonic Function, Dirichlet Problem, Green’s Function, Kato Class, Shauder Fixed Point Theorem, Maximum Principle, 26A33, 47G20, 31B05 
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Bezzarga, Mounir; Kefi, Khaled. On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball. Fractional calculus and applied analysis, Tome 8 (2005) no. 3, pp. 247-265. http://geodesic.mathdoc.fr/item/FCAA_2005_8_3_a1/