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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Subelliptic harmonic maps


Authors: Jürgen Jost and Chao-Jiang Xu
Journal: Trans. Amer. Math. Soc. 350 (1998), 4633-4649
MSC (1991): Primary 35H05, 58E20, 35J20
DOI: https://doi.org/10.1090/S0002-9947-98-01992-8
MathSciNet review: 1433120
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Abstract: We study a nonlinear harmonic map type system of subelliptic PDE. In particular, we solve the Dirichlet problem with image contained in a convex ball.


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Additional Information

Jürgen Jost
Affiliation: Institut für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany
Address at time of publication: Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstr. 22-26, D-04103 Leipzig, Germany
Email: jost@mis.mpg.de

Chao-Jiang Xu
Affiliation: Department of Mathematics, Wuhan University, 430072 Wuhan, China
Address at time of publication: Université de Rouen, Analyse et modèles stochastiques, UPRAS-A 6085, UFR des Sciences, Mathématiques, F-76821 Mont St. Aignan, France
Email: chao-jiang.xu@univ-rouen.fr

DOI: https://doi.org/10.1090/S0002-9947-98-01992-8
Received by editor(s): November 10, 1995
Received by editor(s) in revised form: November 10, 1996
Additional Notes: The essential part of the present work was carried out when the second author was a guest of the research project SFB 237 at the Ruhr University Bochum. The first author was also supported by the DFG, the second one by the NSF of China
Article copyright: © Copyright 1998 American Mathematical Society