Equations du type Monge-Ampère sur les variétés Riemanniennes compactes. I

DOI10.1016/0022-1236(81)90054-9zbMath0466.58029OpenAlexW2006727969MaRDI QIDQ1155294

Philippe P. Delanoë

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90054-9

zbMATH Keywords

continuity methodestimates of the gradient of a solutionMonge-Ampere equations on compact Riemannian manifolds

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99)

Related Items (12)

A note on the asymptotic behavior of parabolic Monge-Ampère equations on Riemannian manifolds ⋮ Parabolic Monge-Ampère equations on Riemannian manifolds ⋮ Gradient rearrangement for diffeomorphisms of a compact manifold. ⋮ Equations du type de Monge-Ampère sur les variétés Riemanniennes compactes. III ⋮ Existence of the global solution for the parabolic Monge-Ampère equations on compact Riemannian manifolds ⋮ Global existence of solutions to parabolic Monge-Ampère equations on Riemannian manifolds ⋮ Partial decay on simple manifolds ⋮ The Dirichlet problem for modified complex Monge-Ampère equations ⋮ A priori estimates and a Liouville theorem for elliptic Monge-Ampère equations ⋮ Sur les équations de Monge-Ampère. I ⋮ An improved upper and lower solutions method ⋮ Bifurcation for Monge-Ampère equations on flat tori

Cites Work

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• Equations du type de Monge-Ampère sur les variétés Riemanniennes compactes. II
• Fonction de Green et valeurs propres du laplacien
• Métriques riemanniennes et courbure
• Applications of global analysis to specific nonlinear eigenvalue problems
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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