Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group
Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group
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DOI：
10.4153/cmb-2001-035-0
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发表时间：
2001-09
期刊：
影响因子：
--
通讯作者：
Wei Wang
中科院分区：
文献类型：
--
作者：
Wei Wang
摘要 本文建立了涉及Heisenberg群上临界Sobolev指数的非线性亚椭圆方程正解的存在性，推广了Brezis和Nirenberg在欧几里德情况下的结果。
Abstract In this paper, we establish the existence of positive solution of a nonlinear subelliptic equation involving the critical Sobolev exponent on the Heisenberg group, which generalizes a result of Brezis and Nirenberg in the Euclidean case.