[Une version complètement nonlinéaire du problème de Yamabe et une inégalité du type Harnack]
On étudie une version complètement nonlinéaire du problème de Yamabe. On etablit aussi une inégalité du type Harnack pour des équations elliptiques de second ordre, complètement nonlinéaires, avec invariance conforme. Les démonstrations détaillées de ces résultats sont présentées ailleurs.
We present some results on a fully nonlinear version of the Yamabe problem and a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic equations.
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@article{CRMATH_2003__336_4_319_0,
author = {Li, Aobing and Li, Yan Yan},
title = {A fully nonlinear version of the {Yamabe} problem and a {Harnack} type inequality},
journal = {Comptes Rendus. Math\'ematique},
pages = {319--324},
publisher = {Elsevier},
volume = {336},
number = {4},
year = {2003},
doi = {10.1016/S1631-073X(03)00017-7},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(03)00017-7/}
}
TY - JOUR AU - Li, Aobing AU - Li, Yan Yan TI - A fully nonlinear version of the Yamabe problem and a Harnack type inequality JO - Comptes Rendus. Mathématique PY - 2003 SP - 319 EP - 324 VL - 336 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(03)00017-7/ DO - 10.1016/S1631-073X(03)00017-7 LA - en ID - CRMATH_2003__336_4_319_0 ER -
%0 Journal Article %A Li, Aobing %A Li, Yan Yan %T A fully nonlinear version of the Yamabe problem and a Harnack type inequality %J Comptes Rendus. Mathématique %D 2003 %P 319-324 %V 336 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(03)00017-7/ %R 10.1016/S1631-073X(03)00017-7 %G en %F CRMATH_2003__336_4_319_0
Li, Aobing; Li, Yan Yan. A fully nonlinear version of the Yamabe problem and a Harnack type inequality. Comptes Rendus. Mathématique, Tome 336 (2003) no. 4, pp. 319-324. doi : 10.1016/S1631-073X(03)00017-7. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00017-7/
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