Cylindrical Carleman's formula of subharmonic functions and its application

DOI10.22436/jnsa.011.08.01zbMath1438.31003OpenAlexW2807242489MaRDI QIDQ5225433

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Publication date: 22 July 2019

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

Full work available at URL: https://doi.org/10.22436/jnsa.011.08.01

zbMATH Keywords

cylindersubharmonic functioncylindrical Carleman's formula

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (1)

Cylindrical Poisson kernel method and its applications

Cites Work

• Harmonic majorization of a subharmonic function on a cone or on a cylinder
• Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions
• A Nevanlinna Theorem for Superharmonic Functions in Half-Spaces, with Applications
• Elliptic Partial Differential Equations of Second Order
• Harmonic functions in a cylinder with normal derivatives vanishing on the boundary
• A class of shear-free, non-static models for anisotropic magnetofluid systems
• Harmonic Majorizations in Half-Balls and Half-Spaces
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