The equation \(\Delta u=Pu\) on the unit disk with almost rotation free \(P\geq 0\).

DOI10.1016/0022-0396(72)90047-2zbMath0229.31002OpenAlexW2011421085MaRDI QIDQ2550108

Mitsuru Nakai

Publication date: 1972

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(72)90047-2

Mathematics Subject Classification ID

Classification theory of Riemann surfaces (30F20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items

Order Comparisons on Canonical Isomorphisms, Canonical isomorphisms of energy finite solutions of Δu = Pu on open Riemann surfaces, Uniform densities on hyperbolic Riemannl surfaces

Cites Work

• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• The equation \(\Delta u=Pu\) on \(E^m\) with almost rotation free \(P\geq O\).
• The Space of Dirichlet-Finite Solutions of the Equation Δu = Pu on a Riemann Surface
• Dirichlet finite solutions of Δ𝑢=𝑃𝑢, and classification of Riemann surfaces
• Dirichlet finite solutions of $\Delta u=Pu$ on open Riemann surfaces
• A remark on classification of Riemann surfaces with respect to Δ𝑢=𝑃𝑢
• Classification of Riemann surfaces
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