Picard principle and Riemann theorem

DOI10.2748/tmj/1178240842zbMath0335.35036OpenAlexW2164127157MaRDI QIDQ1229354

Mitsuru Nakai

Publication date: 1976

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240842

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15)

Related Items (8)

P-harmonic dimensions on ends ⋮ On positive Liouville theorems and asymptotic behavior of solutions of Fuchsian type elliptic operators ⋮ Isolated singularities and positive solutions of elliptic equations in \(R^ n\) ⋮ A duality relation for harmonic dimensions and its applications ⋮ A remark on Picard principle, II ⋮ Picard principle for finite densities on some end ⋮ Dirichlet integral and Picard principle ⋮ Picard principle for finite densities

Cites Work

• Martin boundary over an isolated singularity of rotation free density
• Martin boundary for linear elliptic differential operators of second order in a manifold
• Riemann surfaces of infinite genus
• Les solutions positives de l'équation $\Delta u=Pu$ sur une surface de Riemann
• Some classes of positive solutions of $\Delta u=P u$ on Riemann surfaces. II.
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