Results 31 to 40 of about 1,372 (214)
Holography, probe branes and isoperimetric inequalities
Physics Letters B, 2015 In many instances of holographic correspondences between a d-dimensional boundary theory and a (d+1)-dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell ...
Frank Ferrari, Antonin Rovai
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Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Open Mathematics, 2022 Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p,q)\left(p,q)-mixed volumes and that of Feng and He [2] on (p,q)\left(p,q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and ...
Zhang Juan, Wang Weidong, Zhao Peibiao
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Bonnesen-style symmetric mixed inequalities
Journal of Inequalities and Applications, 2016 In this paper, we investigate the symmetric mixed isoperimetric deficit Δ 2 ( K 0 , K 1 ) $\Delta_{2}(K_{0},K_{1})$ of domains K 0 $K_{0}$ and K 1 $K_{1}$ in the Euclidean plane R 2 $\mathbb{R}^{2}$ .
Pengfu Wang, Miao Luo, Jiazu Zhou
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Extension of two inequalities of payne
Journal of Inequalities and Applications, 1997 In this note isoperimetric bounds are derived for the maximum of the solution to the Poisson problem for a plane domain. This extends previous bounds of Payne valid for the torsion problem.
Sperb R
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Sharp quantitative stability for isoperimetric inequalities with homogeneous weights [PDF]
, 2022 We prove the sharp quantitative stability for a wide class of weighted isoperimetric inequalities. More precisely, we consider isoperimetric inequalities in convex cones with homogeneous weights.
A. Pratelli +9 more
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Estimates for capacities and traces of potentials
International Journal of Mathematics and Mathematical Sciences, 1984 It is shown that isoperimetric inequalities, relating measures and capacities, hold for all sets in ℝn if they are valid for all balls. As a corollary, the necessary and sufficient conditions for the continuity of some imbeddings of M. Riesz and Bessel
V. G. Maz'ja, S. P. Preobrazenskii
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Notices of the American Mathematical SocietyThe isoperimetric problem is one of the oldest and most famous problems in geometry.
Eichmair, Michael, Brendle, Simon
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Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains
, 2015 The aim of this paper is to prove an isoperimetric inequality relative to a convex domain in R^d intersected with balls with a uniform relative isoperimetric constant, independent of the size of the radius r>0 and the position of the center of the ball ...
Thomas, Marita
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Edge-Isoperimetric Inequalities and Influences [PDF]
Combinatorics, Probability and Computing, 2007 We give a combinatorial proof of the result of Kahn, Kalai and Linial [16], which states that every balanced boolean function on the n-dimensional boolean cube has a variable with influence of at least $\Omega\bigl(\frac{\log n}{n}\bigr)$ .
Dvir Falik, Alex Samorodnitsky
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An Expository Lecture of María Jesús Chasco on Some Applications of Fubini’s Theorem
Axioms, 2021 The usefulness of Fubini’s theorem as a measurement instrument is clearly understood from its multiple applications in Analysis, Convex Geometry, Statistics or Number Theory. This article is an expository paper based on a master class given by the second
Alberto Castejón +3 more
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