Results 91 to 100 of about 2,184 (136)

Removable singular sets of fully nonlinear elliptic equations

Electronic 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  

Second-order PDEs in four dimensions with half-flat conformal structure. [PDF]

Proc Math Phys Eng Sci, 2020
Berjawi S, Ferapontov EV, Kruglikov B, Novikov V.   +3 more
europepmc   +1 more source

Taming hyperparameter tuning in continuous normalizing flows using the JKO scheme. [PDF]

Sci Rep, 2023
Vidal A, Wu Fung S, Tenorio L, Osher S, Nurbekyan L.   +4 more
europepmc   +1 more source

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]

Calc Var Partial Differ Equ, 2021
Guerra A, Koch L, Lindberg S.
europepmc   +1 more source

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]

Entropy (Basel), 2023
Feng Q, Li W.
europepmc   +1 more source

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

Electronic 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  

Contact Geometry of Hyperbolic Equations of Generic Type

Symmetry, 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

Pseudo-Riemannian geometry encodes information geometry in optimal transport. [PDF]

Inf Geom, 2022
Wong TL, Yang J.
europepmc   +1 more source

Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]

J Geom Anal, 2022
Datar V, Jacob A.
europepmc   +1 more source

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

Advanced 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, González-Sanz Alberto   +1 more
doaj   +1 more source