Results 121 to 130 of about 5,226,204 (223)

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  

Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator [PDF]

open access: yes, 1996
We find a bounded solution of the non-homogeneous Monge-Ampère equation under very weak assumptions on its right hand ...
Kołodziej, Sławomir
core  

On the Mean Oscillation of the Hessian of Solutions to the Monge-Ampère Equation on a Priori c1,α and W \u3csup\u3e2,P\u3c/sup\u3e Estimates for a Parabolic Monge-Ampère Equation in the Gauss Curvature Flows

open access: yes, 2006
This paper establishes Hölder estimates of Du and L p estimates of D 2u for solutions u to the parabolic Monge-Ampère equation -Au t + (det D 2u) 1/n ...
Huang, Qingbo, Guozhen, L. U.
core   +1 more source

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  

Entire Monge–Ampère equations and weighted Minkowski problems

open access: yes
In this paper, we prove the existence of convex solutions to a Monge–Ampère equation of entire type derived by a weighted version of the classical Minkowski ...
Ulivelli, Jacopo; orcid:
core   +1 more source

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

The Monge-Ampère equation and warped products of higher rank

open access: yes, 2007
We show that a warped product Mf = ℝ × f ℝ has higher rank and nonpositive curvature if and only if f is a convex solution of the Monge-Ampère equation. In this case we show that M contains a Euclidean factor.
Bechtluft-Sachs S., Samiou E.
core  

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  

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