Results 61 to 70 of about 156 (134)

Boundary blow-up solutions to the Monge-Ampère equation: Sharp conditions and asymptotic behavior

open access: yesAdvances in Nonlinear Analysis, 2019
Consider the boundary blow-up Monge-Ampère ...
Zhang Xuemei, Feng Meiqiang
doaj   +1 more source

Schouten tensor equations in conformal geometry with prescribed boundary metric

open access: yesElectronic 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  

Removable singular sets of fully nonlinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 1999
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]

open access: yesInf Process Med Imaging, 2021
Zhang M   +7 more
europepmc   +1 more source

Contact Geometry of Hyperbolic Equations of Generic Type

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) and generic (class 7-7 ...
Dennis The
doaj   +1 more source

Global interval bifurcation and convex solutions for the Monge-Ampere equations

open access: yesElectronic Journal of Differential Equations, 2018
In this article, we establish the global bifurcation result from the trivial solutions axis or from infinity for the Monge-Ampere equations with non-differentiable nonlinearity. By applying the above result, we shall determine the interval of $\gamma$
Wenguo Shen
doaj  

Design of freeform mirrors using the concentric rings method. [PDF]

open access: yesHeliyon, 2023
González-García J   +2 more
europepmc   +1 more source

Optimal transport and control of active drops. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Shankar S, Raju V, Mahadevan L.
europepmc   +1 more source

Regularity of center-outward distribution functions in non-convex domains

open access: yesAdvanced Nonlinear Studies
For a probability P in Rd ${\mathbb{R}}^{d}$ its center outward distribution function F ±, introduced in V. Chernozhukov, A. Galichon, M. Hallin, and M. Henry (“Monge–Kantorovich depth, quantiles, ranks and signs,” Ann. Stat., vol. 45, no. 1, pp.
del Barrio Eustasio   +1 more
doaj   +1 more source

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