Results 91 to 100 of about 670,956 (234)
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
A Minkowski Inequality for Horowitz–Myers Geon
The Journal of Geometric Analysis, 2022 20 ...
Aghil Alaee, Pei-Ken Hung
openaire +3 more sources
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
doaj +1 more source
The log-Minkowski inequality of curvature entropy for non-symmetric convex bodies [PDF]
arXiv, 2022 In an earlier paper \cite{mazeng} the authors introduced the notion of curvature entropy, and proved the plane log-Minkowski inequality of curvature entropy under the symmetry assumption. In this paper we demonstrate the plane log-Minkowski inequality of curvature entropy for general convex bodies.
arxiv
Human Brain Mapping, Volume 46, Issue 6, April 15, 2025.This study investigates the use of distance measurements to characterize brain atrophy over time based on MRI data. Our analyses showed that the distance measures consistently outperformed the traditional direct volumetric approach for predicting follow‐up diagnosis, highlighting its potential advantage in capturing the multidimensional aspects of ADRD
Xinyi Zhang +15 more
wiley +1 more source
Gaussian Brunn-Minkowski inequalities [PDF]
Transactions of the American Mathematical Society, 2010 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. A possible new Gaussian Brunn-Minkowski inequality is proposed, and proved to be true in some special
Richard J. Gardner, Artem Zvavitch
openaire +2 more sources
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
doaj +1 more source
On $\pmb{p}$-quermassintegral differences function [PDF]
arXiv, 2006 In this paper we establish Minkowski inequality and Brunn--Minkowski inequality for $p$-quermassintegral differences of convex bodies. Further, we give Minkowski inequality and Brunn--Minkowski inequality for quermassintegral differences of mixed projection bodies.
arxiv
Higher order Poincare inequalities and Minkowski-type inequalities [PDF]
arXiv, 2021 We observe some higher order Poincare-type inequalities on a closed manifold, which is inspired by Hurwitz's proof of the Wirtinger's inequality using Fourier theory. We then give some geometric implication of these inequalities by applying them on the sphere.
arxiv
Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian [PDF]
, 2014 We prove that that the 1-Riesz capacity satisfi es a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex.Comment: 9 ...
Novaga, Matteo, Ruffini, Berardo
core +2 more sources