The space of non-negative solutions of the equation $\Delta u=pu$ on a Riemann surface

DOI10.2996/kmj/1138844323zbMath0105.07404OpenAlexW2064052643MaRDI QIDQ3290025

Mitsuru Nakai

Publication date: 1960

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138844323

zbMATH Keywords

partial differential equations

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx)

Related Items (12)

Extreme nonmonotoneity of the Picard principle ⋮ Bounded Energy-Finite Solutions of Δu = Pu on a Riemannian Manifold ⋮ On Wiener compactification of a Riemann surface associated with the equation $\Delta u = pu$ ⋮ Positiveness of the Reproducing Kernel in the Space PD(R) ⋮ A test for Picard principle ⋮ Nonnegative solutions of \(\Delta u=Pu\) on open Riemann surfaces ⋮ Quasi-bounded and singular solutions of \(\Delta u=pu\) on open Riemann surfaces ⋮ Dirichlet integral and Picard principle ⋮ Picard principle for finite densities ⋮ Examples in the classification theory of Riemannian manifolds and the equation \(\Delta u=Pu\) ⋮ Martin Compactifications of the Punctured Disk with Close to Rotation Free Densities ⋮ On Evans' solution of the equation $\Delta u=Pu$ on Riemann surfaces

Cites Work

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• Sur un espace complet de mesures positives dans la théorie du potentiel
• On a theorem of Ugaheri
• The space of bounded solutions of the equation $\Delta u = pu$ on a Riemann surface
• Minimal Positive Harmonic Functions
• Classification of Riemann surfaces
• Über die Integration der Differentialgleichung $\Delta u = c(P)u$ auf offenen Riemannschen Flächen
• Some classes of positive solutions of $\Delta u=Pu$ on Riemann surfaces. I.
• Some classes of positive solutions of $\Delta u=P u$ on Riemann surfaces. II.

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