Levin's type boundary behaviors for functions harmonic and admitting certain lower bounds

DOI10.1186/s13661-015-0421-6zbMath1344.31007OpenAlexW1877551263WikidataQ59434435 ScholiaQ59434435MaRDI QIDQ283589

Mohamed Vetro, Zhiqiang Li

Publication date: 13 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-015-0421-6

zbMATH Keywords

harmonic functionshalf-spaceLevin's type boundary behavior

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Wave equation (35L05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (5)

Retraction note: ``Levin's type boundary behaviors for functions harmonic and admitting certain lower bounds ⋮ An extension of the estimation for solutions of certain Laplace equations ⋮ RETRACTED: A sharp Trudinger type inequality for harmonic functions and its applications ⋮ A new technique to study the boundary behaviors of superharmonic multifunctions and their application ⋮ Notes on the results of lower bounds for a class of harmonic functions in the half space

Cites Work

• Growth of certain harmonic functions in an \(n\)-dimensional cone
• A lower estimate of harmonic functions
• Integral representations for harmonic functions of infinite order in a cone
• Growth properties of modified α-potentials in the upper-half space
• Generalization of a theorem of Hayman on subharmonic functions in an 𝑚-dimensional cone
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