Results 121 to 130 of about 5,226,204 (223)
The Föppl-von Kármán equations of elastic plates with initial stress. [PDF]
Ciarletta P, Pozzi G, Riccobelli D.
europepmc +1 more source
Schouten tensor equations in conformal geometry with prescribed boundary metric
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]
We find a bounded solution of the non-homogeneous Monge-Ampère equation under very weak assumptions on its right hand ...
Kołodziej, Sławomir
core
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
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
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]
Zhang M +7 more
europepmc +1 more source
Contact Geometry of Hyperbolic Equations of Generic Type
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
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
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

