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The Brunn–Minkowski Inequality and Nonconvex Sets
Geometriae Dedicata, 1997The author aims at improving the Brunn-Minkowski inequality for nonconvex sets, by introducing the convex hull of one of the sets into the estimate. For a Borel set \(B\) in \(\mathbb{R}^d\), define \[ \xi(a): =\inf\bigl\{\mu (A+B):A \text{ Borel set, } \mu(A)=a \bigr\}, \] where \(\mu\) denotes Lebesgue measure, and let \(\mu(B)=b\), \(\mu(\text{conv}
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$$L_p$$-Brunn–Minkowski inequality for projection bodies
Acta Mathematica HungaricazbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Killed Brownian motion and the Brunn–Minkowski inequalities
Mathematical Proceedings of the Cambridge Philosophical Society, 2012AbstractWe construct triplets of killed Brownian motions to obtain the Brunn–Minkowski inequalities concerning the solutions of the equation (1/2)Δψ − h ψ = g on three interrelated compact sets in Euclidean space. These, in particular, include inequalities relating to the solutions of the Schrödinger equation and the Poisson equation on the three ...
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The L-Brunn-Minkowski inequality for p < 1
Advances in Mathematics, 2020Yong Huang, Qi-Rui Li, Jiakun Liu
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The Brunn--Minkowski inequality and a Minkowski problem for ?-harmonic Green's function
Advances in Calculus of Variations, 2021Murat Akman, Olli Saari
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Remarks on the conjectured log-Brunn–Minkowski inequality
Geometriae Dedicata, 2014Christos Saroglou
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The dual Orlicz–Brunn–Minkowski theory
Journal of Mathematical Analysis and Applications, 2015Daniel Hug, Deping Ye
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Dual mixed Orlicz–Brunn–Minkowski inequality and dual Orlicz mixed quermassintegrals
Indagationes Mathematicae, 2017Weidong Wang
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The Brunn?Minkowski Inequality for the n-dimensional Logarithmic Capacity of Convex Bodies
Potential Analysis, 2005Andrea Colesanti
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