An energy estimate of an exterior problem and a Liouville theorem for harmonic maps

DOI10.1016/S0294-1449(16)30171-8zbMath0834.58017MaRDI QIDQ1904223

Dong Zhang

Publication date: 10 March 1996

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_6_633_0

zbMATH Keywords

Euclidean spaceRiemannian manifoldsLiouville theoremharmonic mapsenergy estimate

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Cites Work

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• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• A regularity theory for harmonic maps
• Harmonic mappings and minimal submanifolds
• Liouville theorems for harmonic maps
• An existence theorem for harmonic mappings of Riemannian manifolds
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• Another Report on Harmonic Maps
• On the Liouville Theorem for Harmonic Maps
• Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory
• Harmonic functions on complete riemannian manifolds
• Harmonic Mappings of Riemannian Manifolds

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