[Sur certaines équations completement nonlinéaires invariantes par transformation conforme]
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].
Publié le :
@article{CRMATH_2002__334_4_305_0,
author = {Aobing Li and YanYan Li},
title = {On some conformally invariant fully nonlinear equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {305--310},
publisher = {Elsevier},
volume = {334},
number = {4},
year = {2002},
doi = {10.1016/S1631-073X(02)02264-1},
language = {en},
}
Aobing Li; YanYan Li. On some conformally invariant fully nonlinear equations. Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 305-310. doi : 10.1016/S1631-073X(02)02264-1. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02264-1/
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