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1. CMB 2001 (vol 44 pp. 346)
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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 Categories:35J20, 35J60 |