@article{AIHPC_1994__11_6_633_0, author = {Zhang, Dong}, title = {An energy estimate of an exterior problem and a {Liouville} theorem for harmonic maps}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {633--642}, publisher = {Gauthier-Villars}, volume = {11}, number = {6}, year = {1994}, mrnumber = {1310625}, zbl = {0834.58017}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1994__11_6_633_0/} }
TY - JOUR AU - Zhang, Dong TI - An energy estimate of an exterior problem and a Liouville theorem for harmonic maps JO - Annales de l'I.H.P. Analyse non linéaire PY - 1994 SP - 633 EP - 642 VL - 11 IS - 6 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1994__11_6_633_0/ LA - en ID - AIHPC_1994__11_6_633_0 ER -
%0 Journal Article %A Zhang, Dong %T An energy estimate of an exterior problem and a Liouville theorem for harmonic maps %J Annales de l'I.H.P. Analyse non linéaire %D 1994 %P 633-642 %V 11 %N 6 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1994__11_6_633_0/ %G en %F AIHPC_1994__11_6_633_0
Zhang, Dong. An energy estimate of an exterior problem and a Liouville theorem for harmonic maps. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 6, pp. 633-642. http://archive.numdam.org/item/AIHPC_1994__11_6_633_0/
[An] The Dirichlet Problem at Infinity for Manifolds of Negative Curvature, J. Diff. Geo., Vol. 18, 1983, pp. 701-721. | MR | Zbl
,[Che] Liouville Theorem for Harmonic Maps, Proc. Sympos. Pure Math., Vol. 36, AMS, Providence, R.I., 1980, pp. 147-151. | MR | Zbl
,[Cho] On the Liouville Theorem for Harmonic Maps, Proc. of AMS, Vol. 85, No. 1, 1980, pp. 91-94. | MR | Zbl
,[E-L] Another Report on Harmonic Maps, Bull. London Math. Soc., Vol. 20, 1988, pp. 385-524. | MR | Zbl
and ,[E-S] Harmonic Mappings of Riemannian Manifolds, Amer. J. Math., Vol. 86, 1964, pp. 109-160. | MR | Zbl
and ,[GH] A priori Estimates for Harmonic Mappings. J. Reine Angew. Math., Vol. 336, 1982, pp. 124-164. | MR | Zbl
and ,[Hi] Liouville Theorems for Harmonic Maps and an Approach to Beinstein Theorems, Ann. of Math. Studies, Vol. 102, 1982, S. T. Yau ed., pp. 107-131. | MR | Zbl
,[H-J-W] Harmonic Mappings and Minimal Submanifolds. Inventiones Math., Vol. 62, 1980, pp. 269-298. | MR | Zbl
, and ,[H-K-W] An Existence Theory for Harmonic Mappings of Riemannian Manifolds. Acta Math., Vol. 138, 1977, pp. 1-16. | MR | Zbl
, and ,[Ji] Liouville Theorems for Harmonic Maps, Inventiones Math., to appear. | MR | Zbl
,[Sc] Analytic Aspects of the Harmonic Map Problem, Seminar on Non-linear PDE, S. S. Cherned. ed, pp. 321-358. | MR | Zbl
,[Se] Some Conditions Ensuring the Vanishing of Harmonic Differential Forms with Applications to Harmonic Maps and Yang-Mills Theory, Math. Proc. Camb. Phil. Soc. Vol. 91, 1982, pp. 441-452. | MR | Zbl
,[S-U] A Regularity Theory for Harmonic Maps, J. Diff. Geom., Vol. 60, 1984, pp. 307-335. | MR | Zbl
and ,[Su] The Dirichlet Problem at Infinity for a Negatively Curved Manifold, J. Diff. Geo., Vol. 18, 1983, pp. 723-732. | MR | Zbl
,[S-Y] Harmonic Maps and the Topology of Stable Hypersurfaces and Manifolds with non-negative Ricci Curvature, Comm. Math. Helv., Vol. 51, 1976, pp. 333-341. | MR | Zbl
and ,[Ya] Harmonic Functions on Complete Riemannian Manifolds, Comm. Pure Appl. Math., Vol. 28, 1975, pp. 201-228. | MR | Zbl
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