[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 = {Aobing Li and Yan Yan Li},
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},
}
Aobing Li; Yan Yan Li. A fully nonlinear version of the Yamabe problem and a Harnack type inequality. Comptes Rendus. Mathématique, Volume 336 (2003) no. 4, pp. 319-324. doi : 10.1016/S1631-073X(03)00017-7. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00017-7/
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Local gradient estimates of solutions to some conformally invariant fully nonlinear equations
YanYan Li
C. R. Math (2006)