A form of classical Picard principle

DOI10.3792/pjaa.72.6zbMath0869.31002OpenAlexW2091099632MaRDI QIDQ1917597

Yujiro Ishikawa, Toshimasa Tada, Mitsuru Nakai

Publication date: 14 August 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.6

zbMATH Keywords

harmonic functionexpansions in spherical harmonics

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (2)

A form of classical Liouville theorem ⋮ Harmonic Liouville theorem for exterior domains

Cites Work

• Bôcher's theorem in \(\mathbb{R}^ 2\) and Carathéodory's inequality
• Monotoneity and homogeneity of Picard dimensions for signed radial densities
• Étude de l'équation de la chaleur $\Delta u=c(M)u(M)$, $c(M)\ge0$, au voisinage d'un point singulier du coefficient
• Potential theory
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