Results 31 to 40 of about 1,599 (218)
On the Isoperimetric Riemannian Penrose Inequality [PDF]
We prove that the Riemannian Penrose Inequality holds for Asymptotically Flat $3$-manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the $\mathrm{ADM}$ mass being a ...
Benatti, Luca +2 more
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An Isoperimetric Inequality for Planar Triangulations [PDF]
Discrete & Computational Geometry, 2017 We prove a discrete analogue to a classical isoperimetric theorem of Weil for surfaces with non-positive curvature. It is shown that hexagons in the triangular lattice have maximal volume among all sets of a given boundary in any triangulation with minimal degree 6.
Omer Angel, Itai Benjamini, Nizan Horesh
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Dual Orlicz geominimal surface area
Journal of Inequalities and Applications, 2016 The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
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On Isoperimetric Inequalities in Minkowski Spaces
Journal of Inequalities and Applications, 2010 The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces).
Horst Martini, Zokhrab Mustafaev
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Isoperimetric inequality and applications
, 2021 U ovom diplomskom radu opisana je prva pojava izoperimetrijskog problema u matematici te otkriće tog problema (legenda o Didoni) i važnost u svakidašnjem životu. Rezultat izoperimetrijskog problema jest izoperimetrijska nejednakost.
Škrnjug, Karla
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On the quantitative isoperimetric inequality in the plane [PDF]
, 2017 International audienceIn this paper we study the quantitative isoperimetric inequality in the plane. We prove the existence of a set $\Omega$, different from a ball, which minimizes the ratio $\delta(\Omega)/\lambda^2(\Omega)$, where $\delta$ is the ...
Chiara Bianchini +5 more
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Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality
Journal of Function Spaces, 2020 The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-
Niufa Fang, Jin Yang
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On A. Hurwitz’ method in isoperimetric inequalities [PDF]
Proceedings of the American Mathematical Society, 1978 We show that if M is complete simply connected with nonpositive sectional curvatures, Ω
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A strong quantitative form of the fractional isoperimetric inequality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We show a strong version of the fractional quantitative isoperimetric inequality, in which the isoperimetric deficit controls not only the Fraenkel asymmetry but also a sort of oscillation of the boundary. This generalizes the local result by Fusco and Julin in [22].
Eleonora Cinti +2 more
wiley +1 more source
Reifenberg’s isoperimetric inequality revisited [PDF]
Calculus of Variations and Partial Differential Equations, 2019 We prove a generalization of Reifenberg's isoperimetric inequality. The main result of this paper is used to establish existence of a minimizer for an anisotropically-weighted area functional among a collection of surfaces which satisfies a set of axioms, namely being closed under certain deformations and Hausdorff limits.
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