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.
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
@article{10_4153_CMB_2001_035_0,
author = {Wang, Wei},
title = {Positive {Solution} of a {Subelliptic} {Nonlinear} {Equation} on the {Heisenberg} {Group}},
journal = {Canadian mathematical bulletin},
pages = {346--354},
year = {2001},
volume = {44},
number = {3},
doi = {10.4153/CMB-2001-035-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-035-0/}
}
TY - JOUR AU - Wang, Wei TI - Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group JO - Canadian mathematical bulletin PY - 2001 SP - 346 EP - 354 VL - 44 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-035-0/ DO - 10.4153/CMB-2001-035-0 ID - 10_4153_CMB_2001_035_0 ER -
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