Examples in the classification theory of Riemannian manifolds and the equation \(\Delta u=Pu\)

DOI10.1007/BF01111596zbMath0213.12305WikidataQ115394044 ScholiaQ115394044MaRDI QIDQ2544843

Yanyan Li

Publication date: 1971

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171561

Mathematics Subject Classification ID

Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (4)

A remark on classification of Riemannian manifolds with respect to Δ𝑢=𝑃𝑢 ⋮ Dirichlet finite solutions of $\Delta u=Pu$ on open Riemann surfaces ⋮ The equation \(\Delta u=Pu\) on \(E^m\) with almost rotation free \(P\geq O\). ⋮ Dirichlet mappings of Riemannian manifolds and the equation \(\Delta u = Pu\).

Cites Work

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• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• The Royden boun dry of a Riemannian manifold
• A new operator for elliptic equations and the \(P\)-compactification for \(\Delta u=Pu\)
• A set of capacity zero and the equation $\Delta u=Pu$
• The Space of Dirichlet-Finite Solutions of the Equation Δu = Pu on a Riemann Surface
• Les solutions positives de l'équation $\Delta u=Pu$ sur une surface de Riemann
• A Measure on the Harmonic Boundary of a Riemann Surface
• The space of bounded solutions of the equation $\Delta u = pu$ on a Riemann surface
• The space of non-negative solutions of the equation $\Delta u=pu$ on a Riemann surface
• On Evans' solution of the equation $\Delta u=Pu$ on Riemann surfaces
• Behaviour of Green Lines at Royden’s Boundary of Riemann Surfaces
• Bounded in the Mean Solutions of Δu = Pu on Riemannian Manifolds
• On Wiener compactification of a Riemann surface associated with the equation $\Delta u = pu$
• 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.

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