带Navier边值的高阶椭圆方程正解的不存在性  

Nonexistence of Positive Solutions of Higher-order Elliptic Equations with Navier Boundary Condition

作　　者：赵围围 胡昌慧 万莹 ZHAO Weiwei;HU Changhui;WAN Ying(School of Science,Hainan University,Haikou 570228,China;School of Cyberspace Security(School of Cryptology),Hainan University,Haikou 570228,China;School of Information Engineering,Dalian Ocean University,Dalian 116023,China)

机构地区：[1]海南大学理学院,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 [3]大连海洋大学信息工程学院,辽宁大连116023

出　　处：《应用数学》2023年第2期392-399,共8页Mathematica Applicata

基　　金：Supported by the China Scholarship Council(202008210114);the National Natural Science Foundation of China(62262012);the Foundation of Hainan University(KYQD22094)。

摘　　要：本文采用Mitidieri(1993)的经典Kelvin变换和Pohozaev恒等式方法,在较大的指标范围内,得到了带Navier边值的高阶椭圆方程和方程组的Liouville型定理.This paper gets the Liouville theorem for a higher-order elliptic equation(equations)in the half-space subject to the Navier boundary value conditions in a wider exponent region described via a critical curve.The main idea follows from the Kelvin transform and Pohozaev-type identity introduced by Mitidieri(1993).

关 键 词：高阶椭圆方程 Navier边值 不存在性 

分 类 号：O29[理学—应用数学]