Results 141 to 150 of about 188 (177)

Monge-Ampere Equations on Convex Regions of The Plane

Communications in Partial Differential Equations, 1991
exaly   +2 more sources

CLASSIFICATION OF MIXED TYPE MONGE–AMPERE EQUATIONS

1994
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Comparison principles for weak solutions of monge–ampere equations

Communications in Partial Differential Equations, 1990
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Geometry of complex Monge-Ampere equations

2020
In this thesis, we study three problems related to Complex Monge-Amp`ere equations. After the introduction and preliminary, In chapter 3, we study K ̈ahler Ricci flow on Fano bundle, with finite time singularity. we show that under the suitable assumption on the initial and ending K ̈ahler class, the evolving K ̈ahler metrics along K ̈ahler Ricci flow ...
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Smooth Elliptic Solutions of Monge-Ampere Equations

1994
In § 8 of Chapter 2 we presented in detail the classical Minkowski Theorem on the problem of existence and uniqueness of a closed convex hypersurface with prescribed Gaussian curvature K(η) in (n + l)-dimensional Euclidean space E n+1 . Here K(η) is a positive continuous function on the unit hypersphere S n ⊂ En+1, which is centered at the origin of En+
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Numerical Solution of Monge-Ampere Equation

We show that the numerical solution, of the fully non linear Monge-Ampre equation in two dimension, can be obtained by resolving an optimisation problem implying the resolution of a quasilinear Dirichlet problem. A gradient method is used. We give a no classical method to compute the gradient.
Bouchiba, M., Belgasen, F.
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Solution of the Monge-Ampere equation in a ring domain

UZBEK MATHEMATICAL JOURNAL
The problem of recovering surfaces by the total or extrinsic curvature is related to the solution of the nonlinear elliptic equation of the Monge-Ampere type. Using the geometric method, the existence and uniqueness of a solution to the Monge-Ampere equation is shown in the problem of recovering a surface by its total curvature in isotropic space.
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