Results 61 to 70 of about 2,338 (154)
Soft Kirigami Composites for Form‐Finding of Fully Flexible Deployables
Advanced Materials Technologies, Volume 9, Issue 1, January 8, 2024.A new class of thin flexible structures are introduced that morph from flat into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are coupled: strain mismatch (inspired by biological growth) and kirigami cuts.
Jan Zavodnik +4 more
wiley +1 more source
Aleksandrov-type estimates for a parabolic Monge-Ampere equation
Electronic Journal of Differential Equations, 2005 A classical result of Aleksandrov allows us to estimate the size of a convex function $u$ at a point $x$ in a bounded domain $Omega$ in terms of the distance from $x$ to the boundary of $Omega$ if $$int_{Omega} det D^{2}u , dx less than infty ...
David Hartenstine
doaj
Smooth approximation of twisted Kähler-Einstein metrics
Advanced Nonlinear Studies, 2023 In this article, we prove the existence of smooth approximations of twisted Kähler-Einstein metrics using the variational method.
Jin Lize, Wang Feng
doaj +1 more source
Comparison of two notions of subharmonicity on non-archimedean curves
, 2018 We show that a continuous function on the analytification of a smooth proper algebraic curve over a non-archimedean field is subharmonic in the sense of Thuillier if and only if it is psh, i.e. subharmonic in the sense of Chambert-Loir and Ducros.
Wanner, Veronika
core +1 more source
Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]
Opuscula MathematicaWe 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
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
, 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
Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions
MathematicsThis 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
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
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