An application of the inequality for modified Poisson kernel

DOI10.1186/s13660-016-0959-6zbMath1334.35022OpenAlexW2259076568WikidataQ59468379 ScholiaQ59468379MaRDI QIDQ5964580

Gaixian Xue, Junfei Wang

Publication date: 29 February 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-0959-6

zbMATH Keywords

Dirichlet problemgrowth propertymodified Poisson kernel

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (3)

Poisson type inequalities with respect to a cone and their applications ⋮ RETRACTED: Poisson-type inequalities for growth properties of positive superharmonic functions ⋮ Retraction note to: ``Solutions of the Dirichlet-Schrödinger problems with continuous data admitting arbitrary growth property in the boundary

Cites Work

• Retracted: Sharp geometrical properties of \(a\)-rarefied sets via fixed point index for the Schrödinger operator equations
• Growth of certain harmonic functions in an \(n\)-dimensional cone
• Modified Poisson integral and Green potential on a half-space
• Integral representations for harmonic functions of infinite order in a cone
• Growth property and integral representation of harmonic functions in a cone
• The modification of Poisson-Sch integral on cones and its applications
• Unnamed Item

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