1. CMB 2001 (vol 44 pp. 346)
|Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group |
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.
Keywords:Heisenberg group, subLapacian, critical Sobolev exponent, extremals