Results 71 to 80 of about 1,239,021 (236)
Restricted hyperplane sections of the cross‐polytope and the simplex
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We give a new proof of Webb's theorem on maximal central hyperplane sections of the regular n$n$‐simplex Δn$\Delta _n$, viewed in its standard embedding in Rn+1$\mathbb {R}^{n+1}$. A similar method also yields sharp maximal estimates for noncentral sections of Δn$\Delta ^n$ whose distance d$d$ from the barycenter is small, namely d<1(n+1)(2n+1)
Silouanos Brazitikos, Christos Pandis
wiley +1 more source
THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS
Фізико-математична освітаFormulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
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Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation
Journal of Applied Mathematics, 2016 Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on Sn.
Siyuan Li
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Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
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Minkowski\u27s Inequality for Convex Curves [PDF]
, 2001 Minkowski\u27s inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is used to give a proof of Minkowski\u27s inequality.
Ghandehari, Mostafa
core
Some new refinements of the Young, Hölder, and Minkowski inequalities
Journal of Inequalities and Applications, 2023 We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0 ...
Ludmila Nikolova +2 more
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Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15316-15326, 15 September 2026.ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
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Advanced Photonics Research, Volume 7, Issue 9, September 2026.A gold substrate with an HSQ‐filled C‐shaped engraving selectively pushes a plasmonic nanoparticle from a three‐particle cluster toward its center, leaving dielectric and chiral neighbors nearly unaffected. Validated against published results, a coupled electromagnetic‐thermal analysis confirms this optical force exceeds competing thermophoretic ...
Md. Eyasin Ali +3 more
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The Reverse-log-Brunn-Minkowski inequality [PDF]
Firstly, we propose our conjectured Reverse-log-Brunn-Minkowski inequality (RLBM). Secondly, we show that the (RLBM) conjecture is equivalent to the log-Brunn-Minkowski (LBM) conjecture proposed by Böröczky-Lutwak-Yang-Zhang.
Xi, Dongmeng
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The General Minkowski Inequality for Mixed Volume
Journal of Function SpacesMixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry.
Yusha Lv
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