Results 81 to 90 of about 2,338 (154)
Schouten tensor equations in conformal geometry with prescribed boundary metric
Electronic 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
Arithmetic geometry of toric varieties. Metrics, measures and heights
, 2014 We show that the height of a toric variety with respect to a toric metrized line bundle can be expressed as the integral over a polytope of a certain adelic family of concave functions.
Gil, José Ignacio Burgos +2 more
core
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
Cortical Morphometry Analysis based on Worst Transportation Theory. [PDF]
Inf Process Med Imaging, 2021 Zhang M +7 more
europepmc +1 more source
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
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
Design of freeform mirrors using the concentric rings method. [PDF]
Heliyon, 2023 González-García J +2 more
europepmc +1 more source
Optimal transport and control of active drops. [PDF]
Proc 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
Advanced Nonlinear StudiesFor 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
Second-order PDEs in four dimensions with half-flat conformal structure. [PDF]
Proc Math Phys Eng Sci, 2020 Berjawi S +3 more
europepmc +1 more source