A type of uniqueness for the Dirichlet problem on a half-space with continuous data

DOI10.2140/PJM.1996.172.591zbMath0853.31004OpenAlexW1529810514MaRDI QIDQ1919916

Hidenobu Yoshida

Publication date: 9 January 1997

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1996.172.591

zbMATH Keywords

Dirichlet problemharmonic polynomialuniqueness theoremharmonic function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (9)

The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO ⋮ Dirichlet problems for harmonic functions in half spaces ⋮ A type of uniqueness of solutions for the Dirichlet problem on a cylinder ⋮ Derivation of specific solutions and asymptotic analysis for the cylindrical Dirichlet problem ⋮ Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ Neumann problem on a half-space ⋮ Dirichlet problem on the upper half space ⋮ The Dirichlet problem on the upper half-space ⋮ Explicit solutions of cylindrical Schrödinger equation with radial potentials

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