WebA new approach to theLp-Minkowski problem is presented, which solves the volume-normalized formulation for even data and allp 1. TheMinkowski problemdeals with existence, uniqueness, regularity, and sta- bility of closed convex hypersurfaces whose Gauss curvature (as a function of the outer normals) is preassigned. Web12 de abr. de 2024 · 现代分析及其应用研究所学术报告（蒋永生教授，中南财经政法大学） 来源：鲍旭东 发布时间：2024-04-12
The Planar Orlicz Minkowski Problem for \(p=0\) Without Even
Web4 de mar. de 2024 · The final result not only gives a new proof of many previously known solutions to dual Minkowski problem, -Christoffel-Minkowski problem, etc. by such anisotropic flows, but also provides solutions to dual Christoffel-Minkowski problem with some conditions. Submission history From: Shanwei Ding [ view email ]WebIn this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity by calculating first order Orlicz variation of the dual mixed volume, and call it Orlicz multiple …how to start freestyle rapping
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Webp Brunn-Minkowski theory is the L p Minkowski problem. A solution to the L p Minkowski problem when the data is even was given in [11]. This solution turned out to be a critical ingredient in the recently established L p affine Sobolev inequality [17]. Suppose the real index p is fixed. The L p Minkowski problem for polytopes asks for the WebThe L p dual Minkowski problem contains the L p Minkowski problem and the dual Minkowski problem, two major problems in modern convex geometry that remain open in general. In this paper, existence results on the L p dual Minkowski problem in the weak sense will be provided.WebNote that · K∗ is the norm dual to · K and also the support function of K. The boundary of Kwill be denoted by ∂K. The standard unit ball in Rn will be denoted by Band its volume by ωn. 3TheLp Minkowski problem We begin by recalling basics that we need from the Brunn-Minkowski theory of convexreact flexbox layout