CLASSIFICATION OF SOLUTIONS FOR SOME MIXED ORDER ELLIPTIC SYSTEM

被引：0

作者：

Huang, Genggeng ^{[1
]}

Niu, Yating ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年

基金：

中国国家自然科学基金;

关键词：

Liouville theorem; moving spheres; conformally invariant system; mixed order; asymptotic behavior; LIOUVILLE TYPE THEOREMS; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; EQUATIONS; UNIQUENESS; SYMMETRY;

D O I：

10.3934/dcds.2023079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this paper, we classify the solution of the following mixed-order conformally invariant system with coupled nonlinearity in R4: where 0 < p1 < 1, p2 > 0, q1 > 0, q2 > 0, u > 0 and satisfies R4 up1 (x)eq1v(x)dx < oo, R4 up2 (x)eq2v(x)dx < oo. Under additional assumptions (H1) or (H2), we study the asymptotic behavior of the solutions to system (1) and we establish the equivalent integral formula for (1). By using the method of moving spheres, we obtain the classification results of the solutions in (1).

引用

页码：4069 / 4098

页数：30

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