Results 71 to 80 of about 2,184 (136)

From Monge-Ampere equations to envelopes and geodesic rays in the zero temperature limit [PDF]

, 2017
Let X be a compact complex manifold equipped with a smooth (but not necessarily positive) closed form theta of one-one type. By a well-known envelope construction this data determines a canonical theta-psh function u which is not two times differentiable,
Berman, Robert J.
core  

A generalised comparison principle for the Monge-Amp\`ere equation and the pressure in 2D fluid flows

, 2016
We extend the generalised comparison principle for the Monge-Amp\`ere equation due to Rauch & Taylor (Rocky Mountain J. Math. 7, 1977) to nonconvex domains. From the generalised comparison principle we deduce bounds (from above and below) on solutions of
Ozanski, Wojciech
core  

The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]

Calc Var Partial Differ Equ, 2022
Colesanti A, Ludwig M, Mussnig F.
europepmc   +1 more source

Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions

Mathematics
This paper studies a mixed PDE containing the second time derivative and a quadratic nonlinearity of the Monge–Ampère type in two spatial variables, which is encountered in geophysical fluid dynamics.
Andrei D. Polyanin, Alexander V. Aksenov
doaj   +1 more source

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]

Opuscula Mathematica
We construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj   +1 more source

IMAGE COMPRESSION BASED ON IMPORTANCE USING OPTIMAL MASS TRANSPORTATION MAP. [PDF]

Proc Int Conf Image Proc, 2022
Li Z, An D, Feng Y, Gu X, Xu X, Zhang M.
europepmc   +1 more source

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. [PDF]

J Sci Comput, 2022
Caboussat A, Glowinski R, Gourzoulidis D.   +2 more
europepmc   +1 more source

The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1

Anais da Academia Brasileira de Ciências, 2008
In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
doaj   +1 more source

Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex Monge-Ampère equation (CMA) and
Andrei A. Malykh, Mikhail B. Sheftel
doaj   +1 more source

Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator

Boundary Value Problems, 2017
The authors consider the impulsive differential equation with Monge-Ampère operator in the form of { ( ( u ′ ( t ) ) n ) ′ = λ n t n − 1 f ( − u ( t ) ) , t ∈ ( 0 , 1 ) , t ≠ t k , k = 1 , 2 , … , m , Δ ( u ′ ) n | t = t k = λ I k ( − u ( t k ) ) , k = 1
Xuemei Zhang, Meiqiang Feng
doaj   +1 more source