In this work, we show some regularity and uniqueness results for generalized harmonic maps on target manifolds which are graphs of real-valued functions defined on ellipsoids. As an application, we prove a diffeomorphism property for such harmonic maps in two dimensions.
Submitted March 30, 2001. Published May 21, 2001.
Math Subject Classifications: 53C43, 58E20.
Key Words: harmonic maps, diffeomorphism, uniqueness, regularity.
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| Yuxin Ge |
Departement de Mathematiques
Faculte de Sciences et Technologie
Universite Paris XII-Val de Marne
61, avenue du General de Gaulle
94010 Creteil Cedex, France
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