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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Subelliptic harmonic maps
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by Jürgen Jost and Chao-Jiang Xu PDF
Trans. Amer. Math. Soc. 350 (1998), 4633-4649 Request permission

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