Symmetry of integral equation systems with Bessel kernel on bounded domains

Xiaotao Huang; Dongsheng Li; Lihe Wang

doi:10.1016/j.na.2010.09.004

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Symmetry of integral equation systems with Bessel kernel on bounded domains

Journal article

Peer reviewed

Symmetry of integral equation systems with Bessel kernel on bounded domains

Xiaotao Huang, Dongsheng Li and Lihe Wang

Nonlinear analysis, Vol.74(2), pp.494-500

2011

DOI: 10.1016/j.na.2010.09.004

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Abstract

In this paper, we investigate the symmetry of integral equation systems with Bessel kernel on bounded domains. Under some natural integrability conditions, we prove that the domains are balls and all positive solutions are radially symmetric and monotonic decreasing.

Systems of integral equations with Bessel kernel

Symmetry of domains and solutions

Moving planes

Details

Title: Subtitle: Symmetry of integral equation systems with Bessel kernel on bounded domains
Creators: Xiaotao Huang - College of Science, Xi’an Jiaotong University, Xi’an 710049, PR China
Dongsheng Li - College of Science, Xi’an Jiaotong University, Xi’an 710049, PR China
Lihe Wang - College of Science, Xi’an Jiaotong University, Xi’an 710049, PR China
Resource Type: Journal article
Publication Details: Nonlinear analysis, Vol.74(2), pp.494-500
Publisher: Elsevier Ltd
DOI: 10.1016/j.na.2010.09.004
ISSN: 0362-546X
eISSN: 1873-5215
Language: English
Date published: 2011
Academic Unit: Mathematics
Record Identifier: 9984083894502771

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