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

作     者：YIN Rong ZHANG Jihui SHANG Xudong 

作者机构：School of ScienceNantong UniversityNantong 226000China Institute of MathematicsNanjing Normal UniversityNanjing 270023China Institute of MathematicsNanjing Normal University Taizhou CollegeTaizhou 225300China 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2019年第32卷第3期

页      面：191-206页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：System of integral equations exterior domain symmetry monotonicity Liouville type theorem 

摘      要：In this paper we are concerned with a system of nonlinear integral equations on the exterior domain under the su让able 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.