On some conformally invariant fully nonlinear equations
[Sur certaines équations completement nonlinéaires invariantes par transformation conforme]
Li, Aobing1 ; Li, YanYan1
1 Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854, USA
Comptes Rendus. Mathématique, Tome 334 (2002) no. 4, pp. 305-310.

On présente des résultats de type Liouville, des inégalités de type Harnack ainsi que d'existence et de compacité de solutions pour certaines équations elliptiques du second ordre, complètement nonlinéaires, sur des variétés Riemanniennes localement conformément plates. Les démonstrations détaillées sont contenues dans [7].

We outline proofs of our results in [7] on Liouville type theorems, Harnack type inequalities, and existence and compactness of solutions to some conformally invariant fully nonlinear elliptic equations of second order on locally conformally flat Riemannian manifolds. Details will appear in [7].

Reçu le :
Publié le :
DOI : 10.1016/S1631-073X(02)02264-1
Li, Aobing 1 ; Li, YanYan 1

1 Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854, USA 
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Li, Aobing; Li, YanYan. On some conformally invariant fully nonlinear equations. Comptes Rendus. Mathématique, Tome 334 (2002) no. 4, pp. 305-310. doi : 10.1016/S1631-073X(02)02264-1. http://www.numdam.org/articles/10.1016/S1631-073X(02)02264-1/

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