R_(+)^(N)上不同阶椭圆方程组的Liouville型定理  

Liouville-type Theorem for Different Order Elliptic System in R_(+)^(N)

作　　者：赵围围 邵晓翎 胡昌慧 程之羽 ZHAO Weiwei;SHAO Xiaoling;HU Changhui;CHENG Zhiyu(School of Mathematics and Statistics,Hainan University,Haikou 570228,China;School of Cyberspace Security(School of Cryptology),Hainan University,Haikou 570228,China)

机构地区：[1]海南大学数学与统计学院,海南海口570228 [2]海南大学网络空间安全学院(密码学院),海南海口570228

出　　处：《应用数学》2024年第2期482-488,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (62262012);the Foundation of Hainan University (KYQD22094, KYQD23050);Hainan Provincial Natural Science Foundation of China(124QN176)。

摘　　要：本文研究带Navier边值的不同阶椭圆方程组的Liouville型问题.主要结论的证明采用了伸缩变换,双边引理和积分形式的移动平面方法.This paper deals with the Liouville theorem for a different order elliptic system in the half-space subject to the Navier boundary value conditions.We obtain this by rescaling technique,doubling lemma and the moving plane method in integral forms.

关 键 词：不同阶椭圆方程 LIOUVILLE型定理 Navier边值 

分 类 号：O29[理学—应用数学]