Results 51 to 60 of about 1,563,827 (90)
Optimal transport and control of active drops. [PDF]
Proc Natl Acad Sci U S A, 2022 Shankar S, Raju V, Mahadevan L.
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Rearrangements and the Monge–Ampère equations [PDF]
We show that the direct counterpart of the Talenti symmetrization estimate for the Laplacian does not hold neither for the complex nor real Monge-Ampère equations.
Błocki, Zbigniew
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, 2017 We introduce and study Choquet-Monge-Ampère classes on compact Kähler manifolds. They consist of quasi-plurisubharmonic functions whose sublevel sets have small enough asymptotic Monge-Ampère capacity.
Zeriahi, Ahmed +4 more
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Envelope Approach to Degenerate Complex Monge–Ampère Equations on Compact Kähler Manifolds
, 2017 We use the classical Perron envelope method to show a general existence theorem to degenerate complex Monge–Ampère type equations on compact Kähler manifolds.
Slimane Benelkourchi
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Viscosity solutions to degenerate Complex Monge-Ampère equations [PDF]
, 2010 International audienceWe develop an alternative approach to Degenerate complex Monge-Ampère equations on compact Kähler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones.
Eyssidieux, Philippe +5 more
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Degenerate complex Monge-Ampère equations over compact Kahler manifolds
, 2007 We prove the existence and uniqueness of the solutions of some very general type of degenerate complex Monge-Ampère equations, and investigate their regularity.
Pali, Nefton, Demailly, Jean-Pierre
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Existence of multiple solutions to the equations of Monge-Ampère type
, 1992 In this paper we prove the existence of nontrivial convex solutions to the Monge-Ampère equation det(D2u) = ƒ(x, u, Du) with Dirichlet or Neumann boundary condition, where ƒ(x, 0, 0) = 0.
Wang, Xu-Jia
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, 2016 Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity ...
Gutiérrez, Cristian E
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A C 2,α,β estimate for complex Monge–Ampère type equations with conic sigularities
In this paper, we give an alternative approach to the C 2,α,β estimate for complex Monge-Ampère equations with cone singularities along simple normal crossing ...
Huang Liding, Tian Gang, Wang Jiaxiang
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, 2011 International audienceThe aim of this survey is to review the results of Phong-Sturm and Berndtsson on the convergence of Bergman geodesics towards geodesic segments in the space of positively curved metrics on an ample line bundle.
Keller, Julien, +5 more
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