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A new maximum principle of elliptic differential equations in divergence form


Authors: Dongsheng Li and Lihe Wang
Journal: Proc. Amer. Math. Soc. 136 (2008), 2823-2828
MSC (2000): Primary 35J25
DOI: https://doi.org/10.1090/S0002-9939-08-09561-0
Published electronically: April 15, 2008
MathSciNet review: 2399046
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Abstract | References | Similar Articles | Additional Information

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
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

DOI: https://doi.org/10.1090/S0002-9939-08-09561-0
Keywords: Maximum principle, elliptic equation in divergence form.
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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