Partial Differential Equations
A fully nonlinear version of the Yamabe problem and a Harnack type inequality
[Une version complètement nonlinéaire du problème de Yamabe et une inégalité du type Harnack]

Présenté par : Haïm Brèzis

Li, Aobing1 ; Li, Yan Yan1
1 Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854, USA
Comptes Rendus. Mathématique, Tome 336 (2003) no. 4, pp. 319-324.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00017-7
Li, Aobing 1 ; Li, Yan Yan 1

1 Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854, USA 
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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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