JERISON-LEE IDENTITIES AND SEMI-LINEAR SUBELLIPTIC EQUATIONS ON HEISENBERG GROUP

作     者：Xinan MA Qianzhong OU Tian WU 麻希南;欧乾忠;吴天

作者机构：School of Mathematical ScienceUniversity of Science and Technology of ChinaHefei230026China School of Mathematics and StatisticsGuangxi Normal UniversityGuilin541004China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期：2025年第45卷第1期

页      面：264-279页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(12141105,12471194) the first author’s research also was supported by the National Key Research and Development Project(SQ2020YFA070080) 

主　　题：Cauchy-Riemann Yamabe problem subelliptic equations Jerison-Lee identities 

摘      要：In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subelliptic equation on Heisenberg groupℍn by using the computer in[5].They wanted to know whether there is a theoretical framework that would predict the existence and the structure of such *** the help of dimension conservation and invariant tensors,we can answer the above question.