On the lp dual minkowski problem
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 …Web14 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 …
On the lp dual minkowski problem
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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. 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 …
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. Web21 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, …
Web10 de mar. de 2024 · The. -Minkowski problem with super-critical exponents. The -Minkowski problem deals with the existence of closed convex hypersurfaces in with …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].
WebAfter that, Wu studied the Lp-Minkowski problem with p ≥ 1 under ... In 2024, Livshyts studied the Minkowski problem of measures in ℝn with positive homogeneous and positive concave density functions. ... Zhu, S. Xing and D. Ye , The dual Orlicz-Minkowski problem, J. Geom. Anal. 28 (2024) 3829–3855. Google Scholar;
WebThe 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 …how to sell stocks in etradeWeb5 de jun. de 2024 · Lutwak, Yang and Zhang [24] formulated the L p dual Minkowski problem, which concerns the characterization of L p dual curvature measures. In this … how to sell stocks of your companyWebA broadband dielectric resonator (DR) antenna is designed by merging its three resonant bands. An asymmetrical moat carved off the DR is designed to perturb the electric field distribution within the DR so that the Q factor of the DR is reduced, and the radiation pattern on the E-plane can be modified to increase the gain in the broadside direction. The mode …how to sell stocks on marketwatchWebAbstract. 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 …how to sell stocks in sharekhanWebThe 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.how to sell stocks on wealthsimpleWeb5 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 … how to sell stocks in zerodha kiteWebOverview 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.how to sell stocks on crypto.com