Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 346-354

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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.
DOI : 10.4153/CMB-2001-035-0
Mots-clés : 35J20, 35J60, Heisenberg group, subLapacian, critical Sobolev exponent, extremals
Wang, Wei. Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 346-354. doi: 10.4153/CMB-2001-035-0
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     title = {Positive {Solution} of a {Subelliptic} {Nonlinear} {Equation} on the {Heisenberg} {Group}},
     journal = {Canadian mathematical bulletin},
     pages = {346--354},
     year = {2001},
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     doi = {10.4153/CMB-2001-035-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-035-0/}
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