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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Symmetry of integral equations on bounded domains


Authors: Dongsheng Li, Gerhard Ströhmer and Lihe Wang
Journal: Proc. Amer. Math. Soc. 137 (2009), 3695-3702
MSC (2000): Primary 45K05, 45P05; Secondary 35J67
Published electronically: June 12, 2009
MathSciNet review: 2529876
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Abstract: In this paper, we will investigate the symmetry of both domains and solutions of integral equations on bounded domains via the method of moving planes.


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Additional Information

Dongsheng Li
Affiliation: College of Science, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China
Email: lidsh@mail.xjtu.edu.cn

Gerhard Ströhmer
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
Email: strohmer@math.uiowa.edu

Lihe Wang
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
Email: lwang@math.uiowa.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09987-0
PII: S 0002-9939(09)09987-0
Keywords: Symmetry, integral equations, moving planes
Received by editor(s): August 13, 2008
Published electronically: June 12, 2009
Additional Notes: The first author was supported in part by NSF of China Grant #10771166.
The second author was supported in part by PCSR Grant #2 PO3A 002223.
The third author was supported in part by NSF Grant # DMS-0701392.
Communicated by: Matthew J. Gursky
Article copyright: © Copyright 2009 American Mathematical Society