IMAGE COMPRESSION BASED ON IMPORTANCE USING OPTIMAL MASS TRANSPORTATION MAP. [PDF]
Li Z, An D, Feng Y, Gu X, Xu X, Zhang M.
europepmc +1 more source
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. [PDF]
Caboussat A +2 more
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Dirichlet problem for degenerate elliptic complex Monge-Ampere equation
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
Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations
A 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
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]
Ciarletta P, Pozzi G, Riccobelli D.
europepmc +1 more source
Schouten tensor equations in conformal geometry with prescribed boundary metric
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
Removable singular sets of fully nonlinear elliptic equations
In this paper we consider fully nonlinear elliptic equations, including the Monge-Ampere equation and the Weingarden equation. We assume that $F(D^2u, x) = f(x) quad x in Omega,,$ $u(x) = g(x) quad xin partial Omega $ has a solution $u$ in $C^2(Omega ...
Lihe Wang, Ning Zhu
doaj
Cortical Morphometry Analysis based on Worst Transportation Theory. [PDF]
Zhang M +7 more
europepmc +1 more source
Geometric properties of boundary sections of solutions to the Monge–Ampère equation and applications
In this paper, we establish several geometric properties of boundary sections of convex solutions to the Monge–Ampère equation: the engulfing and separating properties and volume estimates.
Nguyen, Truyen, Le, Nam Q.
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