The Dirichlet and Neumann Problems for Harmonic Functions in Half-Spaces

DOI10.1112/jlms/s2-24.3.502zbMath0445.31008OpenAlexW2078289320MaRDI QIDQ3889365

Stephen J. Gardiner

Publication date: 1981

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-24.3.502

zbMATH Keywords

Dirichlet problemharmonic functionNeumann problemhalf-space

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary behavior of harmonic functions in higher dimensions (31B25) Connections of harmonic functions with differential equations in higher dimensions (31B35) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (10)

Dirichlet problems for harmonic functions in half spaces ⋮ A type of uniqueness of solutions for the Dirichlet problem on a cylinder ⋮ Neumann problem on a half-space ⋮ On the Neumann problem for harmonic functions in the upper half plane ⋮ The Dirichlet problem on the upper half-space ⋮ On Dirichlet and Neumann problems for harmonic functions ⋮ Harmonic Functions in Slabs and Half-Spaces ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas ⋮ The Dirichlet problem with non-compact boundary ⋮ A symmetry property for polyharmonic functions vanishing on equidistant hyperplanes

This page was built for publication: The Dirichlet and Neumann Problems for Harmonic Functions in Half-Spaces