Results 61 to 70 of about 489,757 (102)

The Brunn–Minkowski–Firey inequality for nonconvex sets [PDF]

, 2012
The definition of Minkowski–Firey Lp-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn–Minkowski–Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown ...
Lutwak, Erwin, Yang, Deane, Gaoyong Zhang, Zhang, Gaoyong, Erwin Lutwak, Deane Yang   +5 more
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Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Brunn-Minkowski inequality and its aftermath. [PDF]

, 1978
1 online resource (PDF, 33 pages)Das Gupta, Somesh. (1978). Brunn-Minkowski inequality and its aftermath..
Das Gupta, Somesh
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Orlicz Dual Brunn-Minkowski Theory: Addition, Dual Quermassintegrals, and Inequalities

, 2018
We further consider the Orlicz dual Brunn-Minkowski theory. An Orlicz radial harmonic addition is introduced, which generalizes the Lp-radial addition and the Lp-harmonic addition to an Orlicz space, respectively.
Zhao, C, Cheung, WS, Chang-Jian Zhao, Wing Sum Cheung   +3 more
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Dual affine isoperimetric inequalities

Journal of Inequalities and Applications, 2006
We establish some inequalities for the dual -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual -centroid bodies.
Bin Xiong, Wuyang Yu, Lin Si
doaj  

Gaussian Brunn-Minkowski Inequalities [PDF]

, 2010
A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski inequality, the first of its type, is proved, together with precise equality conditions, and is shown to be the best possible
Zvavitch, Artem, Gardner, Richard J.
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A Brunn–Minkowski inequality for the Monge–Ampère eigenvalue [PDF]

, 2005
We prove a Brunn–Minkowski-type inequality for the eigenvalue Λ of the Monge–Ampère operator: Λ-1/2n is concave in the class of C+2 domains in Rn endowed with Minkowski addition. The equality case is explicitly described too. The main device of the proof
Salani, Paolo
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A Brunn-Minkowski Type Theorem on the Minkowski Spacetime

, 1999
In this article, we derive a Brunn-Minkowski type theorem for sets bearing some relation to the causal structure on the Minkowski spacetime . We also present an isoperimetric inequality in the Minkowski spacetime as a consequence of this Brunn-Minkowski
Hyoungsick Bahn, Paul Ehrlich
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A survey of discrete version of Brunn Minkowski inequality

, 2014
在本論文中，我們會先定義一個Brunn-Minkowski不等式。然後我們在第一部 分中首先證明它會收斂。在第二部分中，我們會證明一個離散型式的metric space 也會滿足Brunn-Minkowski不等式。In the rst part of the paper, we give a new de nition of Brunn- Minkowski inequality in metric measure space. Then we show the stability of Brunn-
施柏丞, Shih, Po-Chen
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Gaussian Brunn-Minkowski inequalities

, 2020
. A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski inequality is proved, together with precise equality conditions, and shown to be best possible from several points of view.
Artem Zvavitch, Richard J Gardner
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