关于共形海赛不等式不存在性的一个注记（英文）  

A Note on Nonexistence of Conformal Hessian Inequalities

作　　者：欧乾忠[1] 

机构地区：[1]贺州学院理学院,贺州广西542899

出　　处：《数学进展》2017年第1期154-158,共5页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11061013,No.11371360);Guangxi Science Foundation(No.2014GXNSFAA118028);Guangxi Colleges and Universities Key Laboratory of Symbolic Computation and Engineering Data Processing

摘　　要：本文通过恰当选取检验函数以及分部积分的办法,证明了一些指数大于等于k时的k阶共形海赛不等式不存在性的结论,并给出了例子说明指数k是最佳的.Some nonexistence results are proved for entire conformal k-Hessian inequalities for the exponent bigger than or equal to k, via suitable choices of test functions and the arguments of integration by parts. An example is also given to show that the exponent equal to k is sharp.

关 键 词：共形海赛不等式 不存在性结果 分部积分 

分 类 号：O175.25[理学—数学]