On Dirichlet's Problem

DOI10.2307/2371339zbMath0017.26003OpenAlexW2325209569MaRDI QIDQ5768624

Constantin Carathéodory

Publication date: 1937

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

Full work available at URL: https://doi.org/10.2307/2371339

zbMATH Keywords

Dirichlet problemharmonic functions

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20)

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On discrete Dirichlet and Plateau problems, \(p\)-harmonic functions by way of intrinsic mean value properties, The geometry of \(m\)-hyperconvex domains, Harmonic extensions, Convex functions, Dirichlet Problems on Riemann Surfaces and Conformal Mappings, Über den Einfluß von Unendlichkeitsstellen auf das Wachstum subharmonischer Funktionen im \(E^ n\), Functions Which Have Harmonic Support