The Dirichlet Problem for Harmonic Functions

DOI10.2307/2320948zbMath0454.31002OpenAlexW4238000912MaRDI QIDQ3901771

Ivan Netuka

Publication date: 1980

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2320948

zbMATH Keywords

Dirichlet problemChoquet boundaryregular pointsclassical and generalized solutionKeldys theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) History of potential theory (31-03)

Related Items (12)

Exposed sets in potential theory ⋮ The Perron solution for vector-valued equations ⋮ Choquet like sets in function spaces. ⋮ Baire classes of Banach spaces and strongly affine functions ⋮ Complementability of spaces of harmonic functions ⋮ Choquet's theory and the Dirichlet problem. ⋮ Point simpliciality in Choquet representation theory ⋮ On lattice structure of the space of pointwise limits of harmonic functions ⋮ Affine Baire-one functions on Choquet simplexes ⋮ Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions ⋮ On approximation of affine Baire-one functions ⋮ Unnamed Item

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