On the lp dual minkowski problem

Author: tmeq

August undefined, 2024

Web5 de jun. de 2024 · Lpdual curvature measures arise from qth dual intrinsic volumes by means of Alexandrov-type variational formulas. Lutwak, Yang and Zhang [24]formulated … 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.

Name already in use - Github

WebAbstract. The $L_p$ dual Minkowski problem with $p<0 WebIn this paper, we consider the Lp dual Minkowski problem by geometric variational method. Using anisotropic Gauss–Kronecker curvature ﬂows, we establish the exis-tence of smooth solutions of the Lp dual Minkowski problem when pq ≥ 0 and the givendataiseven.If f ≡ 1,weshowundersomerestrictionson p andq thattheonlyhideaway place apartments

On the Lp dual Minkowski problem — Experts@Syracuse

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 …Web24 de mar. de 2024 · [Submitted on 24 Mar 2024] Uniqueness and continuity of the solution to dual Minkowski problem Hejun Wang, Jiazu Zhou Lutwak, Yang and Zhang \cite {LYZ2024} introduced the dual curvature measure that unifies several other geometric measures in dual Brunn-Minkowski theory and Brunn- Minkowski theory.Web20 de nov. de 2024 · The L_ {p} Minkowski problem has not been solved completely, and many challenges remain for p<1. For p>1, the existence and uniqueness of convex bodies were established by Lutwak [ 35] under the assumption that p\ne N when the prescribed measure is even. The regularity was established by Lutwak and Oliker [ 37 ]. hideaway pizza warr acres

On the Lp-Minkowski problem — NYU Scholars

Uniqueness and continuity of the solution to $L_p$ dual Minkowski problem

Web1 de dez. de 2003 · Further progress in the study of this problem was made in the recent papers of Caffarelli [3], Jerison [10], Guan et al. [9], Guan and Li [8], and Guan [7]. In …WebOverview Fingerprint Abstract In this paper, we consider the L p dual Minkowski problem by geometric variational method. Using anisotropic Gauss–Kronecker curvature flows, we establish the existence of smooth solutions of the L p dual Minkowski problem when pq≥ 0 and the given data is even.hideaway pizza western ave okcWeb11 de abr. de 2024 · Publisher preview available. A flow approach to the planar Lp$L_p$ Minkowski problem. April 2024; Mathematische Nachrichtenhideaway place

"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 ]" - On the lp dual minkowski problem

On the lp dual minkowski problem

Nonuniqueness of Solutions to the Lp Dual Minkowski Problem

WebAbstract. A volume-normalized formulation of the L p -Minkowski problem is presented. This formulation has the advantage that a solution is possible for all p ≥ 1, including the …WebThe L p dual curvature measure was introduced by Lutwak, Yang & Zhang in an attempt to unify the L p Brunn–Minkowski theory and the dual Brunn–Minkowski theory. The characterization problem for L p dual curvature measure, called the L p dual Minkowski problem, is a fundamental problem in this unifying theory.

Did you know?

Web研究生课程：拓扑学，Brunn-Minkowski理论，Lp-Brunn-Minkowski理论，Lp-空间中凸几何分析. 2．教研项目 (1)数学与应用数学专业人才培养方案改革研究与实践 (批准号: 2008202)，湖北省教育厅高等学校省级教学研究项目，参加，2008-2010年。WebThe dual q-Minkowski problem was recently introduced by Huang, Lutwak, Yang, and Zhang [30] where they proved the existence of symmetric weak solutions for the case q2(0;n+ 1) under some conditions. Their conditions were recently improved by Zhao [45]. For q<0 the existence and uniqueness of weak solution were obtained in [44].

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 …WebMass Transportation Functionals on the Sphere with Applications to the Logarithmic Minkowski Problem Moscow Mathematical Journal 10.17323/1609-4514-2024-20-1-67-91

Web20 de jun. de 2012 · In this paper we present various existence results for nonlinear differential equations related to the L p Minkowski problem in the plane and the one …WebThe dual $L_p$-Minkowski problem with $p<0

Webeasily handled optimization problems, e.g., LPs and SOCPs, which leads to cutting plane methods. We will focus on these latter methods. The cutting plane method solves an SDP by transforming it into an optimization problem (e.g., an LP or an SOCP), adding cutting planes at each iteration to cut the current approximate solution out of the

Web9 de jul. de 2024 · The Lp dual Minkowski problem contains the Lp Minkowski problem and the dual Minkowski problem, two major problems in modern convex geometry …hideaway place port macquarieWeb19 de jun. de 2024 · In this paper we study the Lpq -dual Minkowski problem for the case p < 0 < q. We prove for any positive smooth function f on \mathbb {S}^ {1}, there exists … hideaway pizza western avenueWebThe Lp dual curvature measure was introduced by Lutwak, Yang, and Zhang in 2024. The associated Minkowski problem, known as the Lp dual Minkowski problem, asks about existence of a convex body with prescribed Lp dual curvature measure. This question unifies the previously disjoint Lp Minkowski problem with the dual Minkowski …hideaway planneralmWeb24 de mar. de 2024 · To extend the important work (Theorem \ref{uniquepolytope}) of LYZ to the case for general convex bodies, we establish some new Minkowski-type inequalities …hideaway places to stayhttp://sxxy.zjnu.edu.cn/2024/0412/c16549a433288/page.htmhowerton honda beckleyWeb21 de set. de 2024 · With the Hadamard variational formula, variational method and Lp Minkowski inequality mentioned above, we prove the existence and uniqueness of the solution for the Lp Minkowski problem for the q -capacity which extends some beautiful results of Jerison (1996, Acta Math.176, 1–47), Colesanti et al. (2015, Adv. Math.285, …howerton hopkin kennedy clark salemWeb1 de jul. de 2024 · In this paper, we consider the \ (L_p\) dual Minkowski problem by geometric variational method. Using anisotropic Gauss–Kronecker curvature flows, we … howerton hopkin kennedy and clark