The Neumann problem for a function harmonic in Rsup(n) x (0,infinity)

DOI10.1007/BF00280145zbMath0355.31005MaRDI QIDQ1237187

David H. Armitage

Publication date: 1976

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (10)

Applications of the generalised Dirichlet integral inequality to the Neumann problem with fast-growing continuous data ⋮ Lagrangian Structure for Compressible Flow in the Half-space with the Navier Boundary Condition ⋮ On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space ⋮ On elliptic equations with singular potentials and nonlinear boundary conditions ⋮ The Neumann problem in graph Lipschitz domains in the plane ⋮ The modification of kernel function and its applications ⋮ Neumann problem on a half-space ⋮ Growth estimates for modified Neumann integrals in a half-space ⋮ On the Neumann problem for harmonic functions in the upper half plane ⋮ On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half space

Cites Work

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• On the theory of harmonic functions of several variables
• The Neumann problem for a function harmonic in a half space
• On Harmonic Polynomials
• Study of Superharmonic Functions in R ⁿ × (0, +∞) by a Passage to R ^{n +3}
• Harmonic Majorizations in Half-Balls and Half-Spaces
• Further Results on the Global Integrability of Superharmonic Functions
• On Least Harmonic Majorants in Half-Spaces

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