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An adaptive least-squares algorithm for the elliptic Monge–Ampère equation
Published 2023-10-01Subjects: Get full text
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Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications
Published 2018-01-01“…Some applications are given to the Monge-Ampère equations and we use global bifurcation techniques to prove our main results.…”
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Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values
Published 2023-01-01“…In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result in [13].…”
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4
A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds
Published 2013-01-01“…We study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function. …”
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The regularity of solutions to the Lp Gauss image problem
Published 2025-01-01Subjects: Get full text
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Non-Archimedean Green’s functions and Zariski decompositions
Published 2024-06-01“…We study the non-Archimedean Monge–Ampère equation on a smooth projective variety over a discretely or trivially valued field. …”
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Simplified Geometric Approach to Freeform Beam Shaper Design
Published 2020-01-01“…First, integrable input-output ray mapping is calculated by the application of the novel GATMA (Geometric Approach to Monge–Ampere equation) method. It allows us to determine the shape of the first freeform surface. …”
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