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

共 50 条

[31] Higher differenbility of generalized solutions of second order elliptic system
Xu, haixiang
Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 1994, 21 (03):
[32] NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS
Zhang, Haiyan
Xu, Jiafa
O'Regan, Donal
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (06): : 2208 - 2219
[33] On the Existence of Solutions for an Elliptic System of Equations with Arbitrary Order Growth
Zhong-yuan LIU
Acta Mathematicae Applicatae Sinica, 2013, (02) : 415 - 424
[34] On the Existence of Solutions for an Elliptic System of Equations with Arbitrary Order Growth
Liu, Zhong-yuan
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (02): : 415 - 424
[35] MULTIPLICITY AND CONCENTRATION OF SOLUTIONS FOR FOURTH-ORDER ELLIPTIC EQUATIONS WITH MIXED NONLINEARITY
Zhang, Wen
Tang, Xianhua
Zhang, Jian
Luo, Zhiming
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[36] A CLASSIFICATION OF SOLUTIONS OF A FOURTH ORDER SEMI-LINEAR ELLIPTIC EQUATION IN Rn
Chammakhi, Ridha
Harrabi, Abdellaziz
Selmi, Abdelbaki
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2017, 30 (7-8) : 569 - 586
[37] Sign-changing solutions for some class of elliptic system
Gan, Lu
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (04) : 676 - 688
[38] SINGULAR SOLUTIONS OF SOME ELLIPTIC EQUATIONS INVOLVING MIXED ABSORPTION-REACTION
Bidaut-Veron, Marie-Francoise
Garcia-Huidobro, Marta
Veron, Laurent
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (08) : 3861 - 3930
[39] Multiple solutions for some fourth-order nonlinear elliptic variational inequalities
Zhang, Jihui
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E23 - E31
[40] Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
Zhang, JH
Li, SJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (02) : 221 - 230

← 1 2 3 4 5 →