Nicht-tangentiales Randverhalten von harmonischen Funktionen in irregulären Randpunkten. (Non-tangential boundary behaviour of harmonic functions in irregular boundary points)

DOI10.1007/BF01190360zbMath0608.31002OpenAlexW1980427496MaRDI QIDQ1086392

Rainer Wittmann

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190360

zbMATH Keywords

regular boundary pointspositive harmonic functionnontangential convergenceirregular boundary point

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary behavior of harmonic functions in higher dimensions (31B25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

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• Positive harmonic functions on non-tangentially accessible domains
• On the behavior of harmonic functions in the neighborhood of an irregular boundary point
• A non-tangential limit theorem
• Fine boundary limits of finely harmonic functions

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