Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Optimal regularity for the Poisson equation


Authors: Lihe Wang, Fengping Yao, Shulin Zhou and Huilian Jia
Journal: Proc. Amer. Math. Soc. 137 (2009), 2037-2047
MSC (2000): Primary 35J05; Secondary 35J15
Published electronically: January 16, 2009
MathSciNet review: 2480285
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we study the regularity theory for the Poisson equation in $ \mathbb{R}^n$ under proper conditions. Furthermore, it will be verified that these conditions are optimal.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J05, 35J15

Retrieve articles in all journals with MSC (2000): 35J05, 35J15


Additional Information

Lihe Wang
Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
Address at time of publication: Department of Mathematics, Xian Jiaotong University, Xian 710049, People’s Republic of China
Email: lwang@math.uiowa.edu

Fengping Yao
Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China
Email: yfp@shu.edu.cn

Shulin Zhou
Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
Email: szhou@math.pku.edu.cn

Huilian Jia
Affiliation: Department of Mathematics, Xian Jiaotong University, Xian 710049, People’s Republic of China
Email: jiahl@mail.xjtu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09805-0
PII: S 0002-9939(09)09805-0
Keywords: Orlicz space, Poisson equation, regularity.
Received by editor(s): April 23, 2008
Received by editor(s) in revised form: July 21, 2008
Published electronically: January 16, 2009
Additional Notes: The first and fourth authors were supported in part by NSF #0701392 and NSFC 10771166.
The second and third authors were supported in part by the NBRPC under Grant 2006CB705700, the NSFC under Grant 60532080, and the KPCME under Grant 306017.
Communicated by: Matthew J. Gursky
Article copyright: © Copyright 2009 American Mathematical Society