The Liouville Type Theorem for a System of Nonlinear Integral Equations on Exterior Domain

Abstract

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In this paper we are concerned with a system of nonlinear integral equations\r\non the exterior domain under the suitable boundary conditions. Through the method\r\nof moving planes in integral forms which has some innovative ideas we obtain that\r\nthe exterior domain is radial symmetry and a pair of positive solutions of the system\r\nis radial symmetry and monotone non-decreasing. Consequently, we can obtain the\r\ncorresponding Liouville type theorem about the solutions.<\/p>"