Electronic Journal of Differential Equations, Vol. 2001(2001), No. 37, pp. 1-15. Title: Minimizing pseudo-harmonic maps in manifolds Author: Yuxin Ge (Univ. Paris XII-Val de Marne, Cedex, France) Abstract: 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.