Subelliptic harmonic maps
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- by Jürgen Jost and Chao-Jiang Xu PDF
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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.References
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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
- 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
- © Copyright 1998 American Mathematical Society
- 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