@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},
volume = {11},
year = {1994},
pages = {633-642},
mrnumber = {1310625},
zbl = {0834.58017},
language = {en},
url = {http://dml.mathdoc.fr/item/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) pp. 633-642. http://gdmltest.u-ga.fr/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 730923 | Zbl 0541.53036
[Che] , Liouville Theorem for Harmonic Maps, Proc. Sympos. Pure Math., Vol. 36, AMS, Providence, R.I., 1980, pp. 147-151. | MR 573431 | Zbl 0455.58009
[Cho] , On the Liouville Theorem for Harmonic Maps, Proc. of AMS, Vol. 85, No. 1, 1980, pp. 91-94. | MR 647905 | Zbl 0485.53038
[E-L] and , Another Report on Harmonic Maps, Bull. London Math. Soc., Vol. 20, 1988, pp. 385-524. | MR 956352 | Zbl 0669.58009
[E-S] and , Harmonic Mappings of Riemannian Manifolds, Amer. J. Math., Vol. 86, 1964, pp. 109-160. | MR 164306 | Zbl 0122.40102
[GH] and , A priori Estimates for Harmonic Mappings. J. Reine Angew. Math., Vol. 336, 1982, pp. 124-164. | MR 671325 | Zbl 0508.58015
[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 645732 | Zbl 0505.58014
[H-J-W] , and , Harmonic Mappings and Minimal Submanifolds. Inventiones Math., Vol. 62, 1980, pp. 269-298. | MR 595589 | Zbl 0446.58006
[H-K-W] , and , An Existence Theory for Harmonic Mappings of Riemannian Manifolds. Acta Math., Vol. 138, 1977, pp. 1-16. | MR 433502 | Zbl 0356.53015
[Ji] , Liouville Theorems for Harmonic Maps, Inventiones Math., to appear. | MR 1156381 | Zbl 0768.53016
[Sc] , Analytic Aspects of the Harmonic Map Problem, Seminar on Non-linear PDE, S. S. Cherned. ed, pp. 321-358. | MR 765241 | Zbl 0551.58011
[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 654088 | Zbl 0494.58002
[S-U] and , A Regularity Theory for Harmonic Maps, J. Diff. Geom., Vol. 60, 1984, pp. 307-335. | MR 664498 | Zbl 0521.58021
[Su] , The Dirichlet Problem at Infinity for a Negatively Curved Manifold, J. Diff. Geo., Vol. 18, 1983, pp. 723-732. | MR 730924 | Zbl 0541.53037
[S-Y] and , 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 438388 | Zbl 0361.53040
[Ya] , Harmonic Functions on Complete Riemannian Manifolds, Comm. Pure Appl. Math., Vol. 28, 1975, pp. 201-228. | MR 431040 | Zbl 0291.31002