Dirichlet mappings of Riemannian manifolds and the equation \(\Delta u = Pu\).

DOI10.1016/0022-0396(71)90091-XzbMath0235.31009MaRDI QIDQ2551866

Moses Glasner

Publication date: 1971

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

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items

Riemannian Manifolds with Discontinuous Metrics and the Dirichlet Integral ⋮ Riemannian Manifolds with Discontinuous Metrics and the Dirichlet Integral ⋮ Manifolds Without Green’s Formula

Cites Work

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• Quelques propriétés des sursolutions et sursolutions locales d'une équation uniformement elliptique de la forme \(Lu =-\sum_ i {\partial\over\partial x_ i} \left(\sum_ j \alpha_{ij} {\partial u\over\partial x_ j}\right) =0\)
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• An axiomatic treatment of pairs of elliptic differential equations
• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• The Royden boun dry of a Riemannian manifold
• Radon-Nikodym densities and Jacobians
• Examples in the classification theory of Riemannian manifolds and the equation \(\Delta u=Pu\)
• Royden algebras and quasi-isometries of Riemannian manifolds
• On a Ring Isomorphism Induced by Quasiconformal Mappings
• The space of bounded solutions of the equation $\Delta u = pu$ on a Riemann surface
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Royden’s map between Riemann surfaces
• Classification and Deformation of Riemannian Spaces.

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