Banach spaces of bounded solutions of Δu = Pu (P ≥ 0) on hyperbolic riemann surfaces

DOI10.1017/S002776300001610XzbMath0293.31005MaRDI QIDQ4044897

Mitsuru Nakai

Publication date: 1974

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

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Second-order elliptic equations (35J15) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (2)

Denseness of singular densities ⋮ Inextremization and boundedness on open Riemann surfaces

Cites Work

• Unnamed Item
• An axiomatic treatment of pairs of elliptic differential equations
• On the Lindelöf principle
• Order Comparisons on Canonical Isomorphisms
• The space of bounded solutions of the equation $\Delta u = pu$ on a Riemann surface
• Étude de l'équation de la chaleur $\Delta u=c(M)u(M)$, $c(M)\ge0$, au voisinage d'un point singulier du coefficient
• Dirichlet finite solutions of Δ𝑢=𝑃𝑢, and classification of Riemann surfaces
• Classification of Riemann surfaces
• Über die Integration der Differentialgleichung $\Delta u = c(P)u$ auf offenen Riemannschen Flächen

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