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Symmetry of integral equation systems on bounded domains |
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| Authors: | Xiaotao Huang Dongsheng Li Lihe Wang |
| Institution: | a Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China b College of Science, Xi'an Jiaotong University, Xi'an 710049, PR China c Department of Mathematics, The University of Iowa, Iowa City, IA 52242-1419, USA d Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, PR China |
| 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. |
| Keywords: | Moving planes Integral equation systems Symmetry of domains and solutions |
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