Results 81 to 90 of about 2,184 (136)
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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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
doaj
Cortical Morphometry Analysis based on Worst Transportation Theory. [PDF]
Inf Process Med Imaging, 2021 Zhang M +7 more
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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
core
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
doaj
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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Design of freeform mirrors using the concentric rings method. [PDF]
Heliyon, 2023 González-García J +2 more
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Schouten tensor equations in conformal geometry with prescribed boundary metric
Electronic Journal of Differential Equations, 2005 We deform the metric conformally on a manifold with boundary. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior ...
Oliver C. Schnuerer
doaj
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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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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