Dirichlet problems of harmonic functions

DOI10.1186/1687-2770-2013-262zbMath1293.31003OpenAlexW2149741677WikidataQ59301310 ScholiaQ59301310MaRDI QIDQ2252633

Gang Xu, Tao Zhao, Pai Yang

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-262

zbMATH Keywords

Dirichlet problemharmonic functionhalf-plane

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (6)

A note on the boundary behavior for a modified Green function in the upper-half space ⋮ RETRACTED: A sharp Trudinger type inequality for harmonic functions and its applications ⋮ A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant ⋮ RETRACTED: Growth property at infinity of harmonic functions ⋮ Retraction note to: ``A remark on the Dirichlet problem in a half-plane ⋮ RETRACTED: Matsaev type inequalities on smooth cones

Cites Work

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• Integral representations of generalized harmonic functions
• Dirichlet problem for the Schrödinger operator in a half space
• Kernels for solving problems of Dirichlet type in a half-plane
• Integral representations for harmonic functions of infinite order in a cone
• Solving integral representations problems for the stationary Schrödinger equation

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