Étude d'une équation de Monge-Ampère sur les variétés kaehleriennes compactes

DOI10.1016/0022-1236(83)90033-2zbMath0527.53043OpenAlexW1977536182MaRDI QIDQ595219

Pascal Cherrier

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90033-2

zbMATH Keywords

a priori estimatesfixed point theoremSobolev inequalitiesSchauder estimatesKaehler manifoldcomplex Monge-Ampere equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nonlinear elliptic equations (35J60) Partial differential equations on manifolds; differential operators (58J99)

Related Items

Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator

Cites Work

• Equations du type de Monge-Ampère sur les variétés Riemanniennes compactes. II
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
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