[Entire solutions of Hessian equations in ]
Nous démontrons l'existence et l'unicité de solutions entières, dans des espaces de Hölder à poids appropriés, d'équations hessiennes elliptiques dans invariantes par rotation à l'infini.
We prove the existence and uniqueness of entire solutions, in appropriate weighted Hölder spaces, of elliptic Hessian equations in with rotational invariance at infinity.
Accepted:
Published online:
Mouhamad Hossein  1
@article{CRMATH_2009__347_17-18_1047_0,
author = {Mouhamad Hossein},
title = {Solutions enti\`eres d'\'equations hessiennes dans $ {\mathbb{R}}^{n}$},
journal = {Comptes Rendus. Math\'ematique},
pages = {1047--1050},
year = {2009},
publisher = {Elsevier},
volume = {347},
number = {17-18},
doi = {10.1016/j.crma.2009.07.003},
language = {fr},
}
Mouhamad Hossein. Solutions entières d'équations hessiennes dans $ {\mathbb{R}}^{n}$. Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1047-1050. doi: 10.1016/j.crma.2009.07.003
[1] Ricci-flat Kähler metrics on affine algebraic manifolds, II, Math. Ann., Volume 287 (1990), pp. 175-180
[2] The Dirichlet problem for nonlinear second-order elliptic equations, III: Functions of the eigenvalues of the Hessian, Acta Math., Volume 155 (1986), pp. 261-301
[3] Partial decay on simple manifolds, Ann. Global Anal. Geom., Volume 10 (1992), pp. 3-61
[4] Elliptic Partial Differential Equations of Second Order, Grundlehren der mathematischen Wissenschaften, vol. 224, Springer-Verlag, 1983
[5] M. Hossein, Thèse de Doctorat (mathématiques), Université de Nice – Sophia Antipolis, 12 Mai 2009
Cited by Sources:
Comments - Policy
