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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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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Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations
MathematicsA family of strongly nonlinear nonstationary equations of mathematical physics with three independent variables is investigated, which contain an arbitrary degree of the first derivative with respect to time and a quadratic combination of second ...
Alexander V. Aksenov, Andrei D. Polyanin
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Boundary blow-up solutions to the Monge-Ampère equation: Sharp conditions and asymptotic behavior
Advances in Nonlinear Analysis, 2019 Consider the boundary blow-up Monge-Ampère ...
Zhang Xuemei, Feng Meiqiang
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The Föppl-von Kármán equations of elastic plates with initial stress. [PDF]
R Soc Open Sci, 2022 Ciarletta P, Pozzi G, Riccobelli D.
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Monotone and Consistent discretization of the Monge-Ampere operator
, 2014 We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications.
Benamou, Jean-David +2 more
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