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Comptes Rendus Mathématique
Volume 334, n° 4
pages 305-310 (2002)
Doi : S1631-073X(02)02264-1
Received : 17 December 2001 ; 
On some conformally invariant fully nonlinear equations
Sur certaines équations completement nonlinéaires invariantes par transformation conforme
 

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

Note presented by Haı̈m Brezis

Abstract

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]. To cite this article: A. Li, Y.Y. Li, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 305-310.

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Résumé

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]. Pour citer cet article : A. Li, Y.Y. Li, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 305-310.

The full text of this article is available in PDF format.
1  Partially supported by a National Science Foundation Grant and a Rutgers University Research Council Grant.


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