Growth of certain harmonic functions in an \(n\)-dimensional cone

DOI10.1007/S11464-012-0253-YzbMath1277.31008OpenAlexW2081197649MaRDI QIDQ382154

Lei Qiao, Guan Tie Deng

Publication date: 18 November 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0253-y

zbMATH Keywords

coneharmonic functiongrowth property

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (3)

Levin's type boundary behaviors for functions harmonic and admitting certain lower bounds ⋮ An application of the inequality for modified Poisson kernel ⋮ Retraction note to: ``Growth property at infinity of harmonic functions

Cites Work

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• Solutions of the Dirichlet problem on a cone with continuous data
• Elliptic Partial Differential Equations of Second Order
• Representations of Harmonic Functions in Half-Spaces
• Generalization of a theorem of Hayman on subharmonic functions in an 𝑚-dimensional cone
• Sharp growth estimates for modified Poisson integrals in a half space

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