Year: 2019
Author: Rong Yin, Jihui Zhang, Xudong Shang
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 3 : pp. 191–206
Abstract
In this paper we are concerned with a system of nonlinear integral equations on the exterior domain under the suitable boundary conditions. Through the method of moving planes in integral forms which has some innovative ideas we obtain that the exterior domain is radial symmetry and a pair of positive solutions of the system is radial symmetry and monotone non-decreasing. Consequently, we can obtain the corresponding Liouville type theorem about the solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v32.n3.1
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 3 : pp. 191–206
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: System of integral equations