Integral representations for harmonic functions of infinite order in a cone

DOI10.1007/S00025-010-0076-7zbMath1252.31004OpenAlexW2076413267MaRDI QIDQ1758329

Xianqiang Yang

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0076-7

zbMATH Keywords

coneintegral representationharmonic function

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (12)

Levin's type boundary behaviors for functions harmonic and admitting certain lower bounds ⋮ A note on the boundary behavior for a modified Green function in the upper-half space ⋮ Matsaev's type theorems for solutions of the stationary Schrödinger equation and its applications ⋮ Derivation of specific solutions and asymptotic analysis for the cylindrical Dirichlet problem ⋮ Integral representations for the solutions of infinite order of the stationary Schrödinger equation in a cone ⋮ Growth properties of Green-Sch potentials at infinity ⋮ Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions ⋮ Dirichlet problems of harmonic functions ⋮ Retracted: Fixed point theorems for solutions of the stationary Schrödinger equation on cones ⋮ An application of the inequality for modified Poisson kernel ⋮ Solving integral representations problems for the stationary Schrödinger equation ⋮ RETRACTED: A remark on the Dirichlet problem in a half-plane

Cites Work

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• Integral representations of harmonic functions in half spaces
• Solutions of the Dirichlet problem on a cone with continuous data
• Kernels for solving problems of Dirichlet type in a half-plane
• Elliptic Partial Differential Equations of Second Order
• Harmonic Functions in a Cone Which Vanish on the Boundary
• Sharp growth estimates for modified Poisson integrals in a half space

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