Perturbation of Yamabe Equation on Iwasawa N Groups in Presence of Symmetry  

作　　者：Qiao Hua YANG 

机构地区：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第8期1575-1590,共16页数学学报（英文版）

基　　金：Supported by the Fundamental Research Funds for the Central Universities (Grant No. 1082001);National Natural Science Foundation of China (Grant No. 10571044)

摘　　要：Let G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. Under the assumption of some symmetries, we obtain an existent result for the nonlinear equation △NU ＋ （1 ＋ ∈K（x, z））u2＊-1 = 0 on N, which generalizes the result of Malchiodi and Uguzzoni to the Kohn＇s subelliptic context on N in presence of symmetry.Let G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. Under the assumption of some symmetries, we obtain an existent result for the nonlinear equation △NU ＋ （1 ＋ ∈K（x, z））u2＊-1 = 0 on N, which generalizes the result of Malchiodi and Uguzzoni to the Kohn＇s subelliptic context on N in presence of symmetry.

关 键 词：Heisenberg type groups Yamabe equations simple Lie group of real rank one 

分 类 号：O241.7[理学—计算数学] O175.25[理学—数学]