Results 91 to 100 of about 8,395 (199)
Estimates for the Complex Monge-Ampère Equation on Hermitian and Balanced Manifolds [PDF]
, 2009 We generalize Yau's estimates for the complex Monge-Ampere equation on compact manifolds in the case when the background metric is no longer Kahler. We prove $C^{\infty}$ a priori estimates for a solution of the complex Monge-Ampere equation when the ...
Valentino Tosatti, B. Weinkove
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Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex Monge-Ampère equation (CMA) and
Andrei A. Malykh, Mikhail B. Sheftel
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Boundary Value Problems, 2017 The authors consider the impulsive differential equation with Monge-Ampère operator in the form of { ( ( u ′ ( t ) ) n ) ′ = λ n t n − 1 f ( − u ( t ) ) , t ∈ ( 0 , 1 ) , t ≠ t k , k = 1 , 2 , … , m , Δ ( u ′ ) n | t = t k = λ I k ( − u ( t k ) ) , k = 1
Xuemei Zhang, Meiqiang Feng
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The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]
Calc Var Partial Differ Equ, 2022 Colesanti A, Ludwig M, Mussnig F.
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A fully nonlinear generalized Monge-Ampere PDE on a torus
Electronic Journal of Differential Equations, 2014 We prove an existence result for a "generalized" Monge-Ampere equation, introduced in [11], under some assumptions on a flat complex 3-torus. As an application we prove the existence of Chern connections on certain kinds of holomorphic vector bundles ...
Vamsi P. Pingali
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Shaping Single Offset Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
International Journal of Antennas and Propagation, 2016 This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a
Rafael A. Penchel +2 more
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IMAGE COMPRESSION BASED ON IMPORTANCE USING OPTIMAL MASS TRANSPORTATION MAP. [PDF]
Proc Int Conf Image Proc, 2022 Li Z, An D, Feng Y, Gu X, Xu X, Zhang M.
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A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. [PDF]
J Sci Comput, 2022 Caboussat A +2 more
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Journal of Scientific Computing, 2018 In this article, we address the numerical solution of the Dirichlet problem for the three-dimensional elliptic Monge–Ampère equation using a least-squares/relaxation approach.
A. Caboussat +2 more
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Dirichlet problem for degenerate elliptic complex Monge-Ampere equation
Electronic Journal of Differential Equations, 2004 We consider the Dirichlet problem $$ det ig({frac{partial^2u}{partial z_ipartial overline{z_j}}} ig)=g(z,u)quadmbox{in }Omega,, quad uig|_{ partial Omega }=varphi,, $$ where $Omega$ is a bounded open set of $mathbb{C}^{n}$ with regular boundary, $g$ and $
Saoussen Kallel-Jallouli
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