On the lp dual minkowski problem
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. Web1 de jul. de 2024 · In this paper the dual Orlicz–Minkowski problem, a generalization of the L p L_p dual Minkowski problem, is studied. By studying a flow involving the Gauss …
On the lp dual minkowski problem
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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 …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].
Web10 de mar. de 2024 · The -Minkowski problem deals with the existence of closed convex hypersurfaces in with prescribed -area measures. It extends the classical Minkowski problem and embraces several important geometric and physical applications. 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
Web9 de mar. de 2024 · The Lp dual Minkowski problem contains the Lp Minkowski problem and the dual Minkowski problem, two major problems in modern convex geometry …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 convex
Web1 de jul. de 2024 · The planar Lp dual Minkowski problem. Weimin Sheng, Shucan Xia. Mathematics. Science China Mathematics. 2024. In this paper we study the L p q -dual …
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 …small business loans interest rates todayWeb28 de mai. de 2024 · When f is a smooth positive function, the solution to the \(L_p\) dual Minkowski problem is smooth provided either \(p>q\) or \(pq\ge 0\) and f is even (see …some daring ascentsWeb14 de jul. de 2024 · The \ (L_p\) dual curvature measures were recently introduced by Lutwak et al. (Adv Math 329:85-132, 2024) to unify the classical theory of mixed volumes …someda fiat toulouseWeb19 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 … some daily temps nyt crosswordWebON THE Lp-MINKOWSKI PROBLEM Deane Yang Published 2003 Mathematics A volume-normalized formulation of the Lp-Minkowski problem is presented. This formulation has …small business loans irelandWeb17 de fev. de 2024 · A dual Orlicz-Minkowski problem is then posed with the newly introduced measure in Gardner, Hug, Weil, Xing, and Ye in [20,21]. For more cases, see …small business loans kabbageWeb1 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 … some daring ascents nyt