Perturbation of Yamabe Equation on Iwasawa N Groups 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 subellipt...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2010-08, Vol.26 (8), p.1575-1590 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Yang, Qiao Hua |
| description | 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. |
| doi_str_mv | 10.1007/s10114-010-7377-3 |
| format | Article |
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| subjects | Algebra Decomposition Lie groups Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Perturbation methods Studies Symmetry 对称性 次椭圆 非线性方程 |
| title | Perturbation of Yamabe Equation on Iwasawa N Groups in Presence of Symmetry |
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