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

被引：0

作者：

Yin Rong ^{[1
]}

Zhang Jihui ^{[2
]}

Shang Xudong ^{[3
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226000, Peoples R China

[2] Nanjing Normal Univ, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Inst Math, Taizhou Coll, Taizhou 225300, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 32卷 / 03期

关键词：

System of integral equations; exterior domain; symmetry; monotonicity; Liouville type theorem; SYMMETRY;

D O I：

10.4208/jpde.v32.n3.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：191 / 206

页数：16

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