Asymptotic multiplicities and Monge–Ampère masses (with an appendix by Sébastien Boucksom)
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Annalen"
DOI: 10.1007/s00208-022-02394-9
Abstract: For a graded system of zero-dimensional ideals on a smooth complex variety, Ein, Lazarsfeld and Smith asked whether equality holds between two Samuel type asymptotic multiplicities of the given graded system and of the associated… read more here.
Keywords: monge amp; amp masses; boucksom; multiplicities monge ... See more keywords
Toroidal b-divisors and Monge–Ampère measures
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DOI: 10.1007/s00209-021-02789-5
Abstract: We generalize the intersection theory of nef toric (Weil) b-divisors on smooth and complete toric varieties to the case of nef b-divisors on complete varieties which are toroidal with respect to a snc divisor. As… read more here.
Keywords: monge amp; intersection theory; weil divisors; divisors monge ... See more keywords
Hölder Regularity of the 2D Dual Semigeostrophic Equations via Analysis of Linearized Monge–Ampère Equations
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DOI: 10.1007/s00220-018-3125-9
Abstract: We obtain the Hölder regularity of time derivative of solutions to the dual semigeostrophic equations in two dimensions when the initial potential density is bounded away from zero and infinity. Our main tool is an… read more here.
Keywords: linearized monge; regularity; dual semigeostrophic; lder regularity ... See more keywords
Weakly Solutions to the Complex Monge–Ampère Equation on Bounded Plurifinely Hyperconvex Domains
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DOI: 10.1007/s11785-018-0821-6
Abstract: Let $$\mu $$μ be a non-negative measure defined on bounded $${\mathcal {F}}$$F-hyperconvex domain $$\Omega $$Ω. We are interested in giving sufficient conditions on $$\mu $$μ such that we can find a plurifinely plurisubharmonic function satisfying… read more here.
Keywords: solutions complex; amp equation; complex monge; weakly solutions ... See more keywords
Global smoothness for a singular Monge–Ampère equation☆
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DOI: 10.1016/j.jde.2017.08.004
Abstract: Abstract The global C n + 2 , α -regularity for the graph of solutions to a singular Monge–Ampere equation was established in [7] . This equation arises in the study of hyperbolic affine spheres… read more here.
Keywords: global smoothness; singular monge; smoothness singular; equation ... See more keywords
A multigrid scheme for 3D Monge–Ampère equations*
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DOI: 10.1080/00207160.2016.1247443
Abstract: ABSTRACT The elliptic Monge–Ampère equation is a fully nonlinear partial differential equation which has been the focus of increasing attention from the scientific computing community. Fast three-dimensional solvers are needed, for example in medical image… read more here.
Keywords: equation; amp equations; monge; scheme monge ... See more keywords
The Monge–Ampère equation in transformation theory and an application to -probabilities
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DOI: 10.1080/03610926.2015.1040509
Abstract: ABSTRACT In this article, we give an application of the theory of Monge–Ampère equations to transformation theory in probability. Before starting our analysis, we recall the definition of -characteristic function, introduced in Selvitella1 and Selvitella2… read more here.
Keywords: transformation theory; theory; transformation; application ... See more keywords
Range of the complex Monge–Ampère operator on plurifinely domain
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DOI: 10.1080/17476933.2017.1325476
Abstract: Abstract In this paper, we study the Dirichlet problem in a plurifinely domain of . We prove that under the suitable conditions, the complex Monge–Ampère equation can be solved in . read more here.
Keywords: plurifinely domain; monge amp; range complex; complex monge ... See more keywords
Overdetermined problems for p-Laplace and generalized Monge–Ampére equations
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DOI: 10.1080/17476933.2020.1843447
Abstract: We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect… read more here.
Keywords: monge amp; laplace generalized; generalized monge; problems laplace ... See more keywords
Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
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DOI: 10.1186/s13661-017-0904-8
Abstract: AbstractThe authors consider the impulsive differential equation with Monge-Ampère operator in the form of {((u′(t))n)′=λntn−1f(−u(t)),t∈(0,1),t≠tk,k=1,2,…,m,Δ(u′)n|t=tk=λIk(−u(tk)),k=1,2,…,m,u′(0)=0,u(1)=0,$$\textstyle\begin{cases} ( (u'(t) )^{n} )'=\lambda nt^{n-1}f (-u(t) ), \quad t\in(0,1), t\neq t_{k}, k=1, 2, \ldots, m, \\ \Delta (u' )^{n}|_{t=t_{k}}=\lambda I_{k}… read more here.
Keywords: differential equation; amp operator; impulsive differential; monge amp ... See more keywords