The Dirichlet problem for \(\alpha\)-harmonic functions on conical domains

DOI10.5802/ambp.208zbMath1100.31004OpenAlexW2332992786MaRDI QIDQ819615

Krzysztof Bogdan, Tomasz Jakubowski

Publication date: 29 March 2006

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2005__12_2_297_0

zbMATH Keywords

Dirichlet problemPoisson kernel\(\alpha\)-harmonic function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items

Boundary behavior of \(\alpha \)-harmonic functions on the complement of the sphere and hyperplane ⋮ Self-similar solution for fractional Laplacian in cones ⋮ Kelvin transform for α-harmonic functions in regular domains ⋮ Yaglom limit for stable processes in cones ⋮ Hitting half-spaces by Bessel-Brownian diffusions ⋮ Hitting of a line or a half-line in the plane by two-dimensional symmetric stable Lévy processes

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