Available in electronic format
Available in print format		 Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
Previous issue | Table of contents | Next issue
Articles in press | Recently posted articles | Most recent issue | All issues
Previous Article | Next Article
     

A new maximum principle of elliptic differential equations in divergence form

Author(s): Dongsheng Li; Lihe Wang
Journal: Proc. Amer. Math. Soc. 136 (2008), 2823-2828.
MSC (2000): Primary 35J25
Posted: April 15, 2008
Retrieve article in: PDF DVI PostScript

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.

References:

1.
Caffarelli, L. A., and Cabre, X., Fully nonlinear elliptic equations, Colloquium Publications, 43, Amer. Math. Soc., Providence, RI, 1995. MR 1351007 (96h:35046)

2.
Gilbarg, D., and Trudinger, N. S., Elliptic partial differential equations of second order, 2nd ed., Springer-Verlag, 1983. MR 737190 (86c:35035)

3.
Lewy, H., and Stampacchia, G., On the regularity of the solution of a variational inequality, Comm. on Pure and Appl. Math., 1969, XXII, 153-188. MR 0247551 (40:816)

4.
Lions, J.-L., and Stampacchia, G., Variational inequalities, Comm. on Pure and Appl. Math., 1967, XX, 493-519. MR 0216344 (35:7178)

5.
Talenti, G., Elliptic equations and rearrangements, Annali della Scuola Norm. Sup. di Pisa, 1976, 3, 697-718. MR 0601601 (58:29170)

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J25

Retrieve articles in all Journals with MSC (2000): 35J25

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: 10.1090/S0002-9939-08-09561-0
PII: S 0002-9939(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
Posted: 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 of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement 		Search the AMSPowered by Google