On the regularity of the lp minkowski problem
WebAfter that, Wu studied the L p -Minkowski problem with p ≥ 1 under the corresponding even measure. In this paper, we further study the existence of solution for L p -Minkowski problem of measures with positive homogeneous and positive concave density functions for 0 < p < 1. Communicated by Xiaonan Ma Keywords: L p -Minkowski problem Web21 de set. de 2024 · The Lp Minkowski problem for q-capacity - Volume 151 Issue 4. Skip to main content Accessibility help ... Regularity and free boundary regularity for the p-Laplace operator in Reifenberg flat and Ahlfors regular …
On the regularity of the lp minkowski problem
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Web1 de jan. de 2006 · Erwin Lutwak, Deane Yang, Gaoyong Zhang, Optimal Sobolev norms and the L p Minkowski problem, International Mathematics Research Notices, Volume 2006, 2006, 62987, ... The Lp-Busemann-Petty centroid inequality, ... On the regularity of solutions to a generalization of the Minkowski problem, ... Web19 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 an F: ℝ + → ℝ −, such that if F ( q) < p < 0 or 0 < q < − F (− p) then there is a smooth and strictly convex body solving the planar Lpq -dual Minkowski problem.
WebA 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 … WebON THE Lp-MINKOWSKI PROBLEM ERWIN LUTWAK, DEANE YANG, AND GAOYONG ZHANG ABSTRACT. A volume-normalized formulation of the Lp-Minkowski problem is …
WebA new approach to the Lp-Minkowski problem is presented, which solves the volume-normalized formulation for even data and all p ≥ 1. The Minkowski problem deals with … WebWe generalize the recent invariant polytope algorithm for computing the joint spectral radius and extend it to a wider class of matrix sets. This, in particular, makes the algorithm applicable to sets of matrices that …
Web6 de jun. de 2024 · A regular solution of Minkowski's problem has been given by A.V. Pogorelov in 1971 (see ); he also considered certain questions in geometry and in the …
Web1 de fev. de 2013 · On the regularity of the Lp Minkowski problem. Authors: Yong Huang. , Qiuping Lu. Authors Info & Claims. Advances in Applied Mathematics Volume 50 … billy woodard / hollow earthWebp 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 billy woodard floridaWebLp Minkowski problem for electrostatic p-capacity Du Zou1 Ge Xiong2 1. Department of Mathematics, Wuhan University of Science and Technology, Wuhan, ... Establishing the regularity of the solution to the Minkwoski problem is difficult and has led to a long series of highly influential works, see, e.g., Lewy [42], Nirenberg billy wood appliance blufftonWebThis paper concerns the continuity of the solution to the even Lp Minkowski problem in the plane. When 0 < p < 1, ... S.-Y. Cheng and S.-T. Yau, On the regularity of the solution of the n-dimensional Minkowski problem, Comm. Pure Appl. Math. 29 (1976) 495–561. billy woodWebLp-Minkowski problem (q= n). The dual Minkowski problem was first pro-posed by Huang, Lutwak, Yang and Zhang in their recent groundbreaking work [18] and then followed by [4, 15, 17, 29, 46, 47 ... billy wood appliance hilton head scWeb7 de fev. de 2024 · In the present paper, we first introduce the concepts of the Lp n -dimensional Logarithmic-Capacity measure and Lp mixed n -dimensional Logarithmic-Capacity and then prove some geometric properties of Lp n -dimensional Logarithmic-Capacity measure and a Lp Minkowksi inequality for the n -dimensional Logarithmic … billy woodard nashvillecynthia levin