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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new maximum principle of elliptic differential equations in divergence form
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by Dongsheng Li and Lihe Wang PDF
Proc. Amer. Math. Soc. 136 (2008), 2823-2828 Request permission

Abstract:

In this paper will be presented a new maximum principle of elliptic differential equations in divergence form which can be regarded as the counterpart of the Alexandroff-Bakelman-Pucci maximum principle of elliptic differential equations in nondivergence form.
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Additional Information
  • Dongsheng Li
  • Affiliation: College of Science, Xi’an Jiaotong University, Xi’an 710049, China
  • MR Author ID: 647543
  • Email: lidsh@mail.xjtu.edu.cn
  • Lihe Wang
  • Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
  • Email: lwang@math.uiowa.edu
  • Received by editor(s): August 1, 2005
  • Received by editor(s) in revised form: January 20, 2007
  • Published electronically: April 15, 2008
  • Additional Notes: The first author was supported by the NSF of China: 10771166
    The second author was supported by PCSIRT
  • Communicated by: David S. Tartakoff
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2823-2828
  • MSC (2000): Primary 35J25
  • DOI: https://doi.org/10.1090/S0002-9939-08-09561-0
  • MathSciNet review: 2399046