Results 101 to 110 of about 8,395 (199)
Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations
MathematicsA family of strongly nonlinear nonstationary equations of mathematical physics with three independent variables is investigated, which contain an arbitrary degree of the first derivative with respect to time and a quadratic combination of second ...
Alexander V. Aksenov, Andrei D. Polyanin
doaj +1 more source
The Föppl-von Kármán equations of elastic plates with initial stress. [PDF]
R Soc Open Sci, 2022 Ciarletta P, Pozzi G, Riccobelli D.
europepmc +1 more source
Monotone and Consistent discretization of the Monge-Ampere operator
, 2014 We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications.
Benamou, Jean-David +2 more
core
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