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Symmetry of integral equation systems on bounded domains
Journal article   Open access   Peer reviewed

Symmetry of integral equation systems on bounded domains

Xiaotao Huang, Dongsheng Li and Lihe Wang
Journal of mathematical analysis and applications, Vol.376(2), pp.443-450
04/15/2011
DOI: 10.1016/j.jmaa.2010.12.005
url
https://doi.org/10.1016/j.jmaa.2010.12.005View
Published (Version of record) Open Access

Abstract

In this paper, we investigate the symmetry of domains and solutions of integral equation systems on bounded domains. Under some natural integrability conditions, we prove that the domains are balls, all positive solutions of systems are radially symmetric and monotone decreasing with respect to the radius.
Integral equation systems Symmetry of domains and solutions Moving planes

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