On the regularity of the lp minkowski problem
Web1 de jan. de 1995 · In [23], Lutwak proved that the solution to the L p Minkowski problem is unique for > p 1 and ≠ p n if μ is even and positive. In [24], Lutwak and Oliker proved the regularity of the solution... WebMinkowski problem for polytopes and applications of the Lp Minkowski problem to sharp affine in-variant Lp Sobolevinequalities [26,27]. From the view of partial differential …
On the regularity of the lp minkowski problem
Did you know?
Web1 de fev. de 2013 · The LpLp Minkowski problem is equivalent to solve the Monge–Ampère equationdet (uij+uδij)=up−1f,on Sn. Since it is degenerate for … WebMinkowski problem (1.1), B or oczky-Lutwak-Yang-Zhang [5] obtained the existence of the even logarithmic Minkowski problem provided that the given measure satis ed the …
Web1 de jan. de 1995 · PDF On Jan 1, 1995, Erwin Lutwak and others published On the regularity of solutions to a generalization of the Minkowski problem Find, read and … 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 …
WebIn this paper, we pose two kinds of Minkowski problems involving the p-Laplacian operator. The Hadamard variational formulas for some p-Laplacian functionals are … Web5 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 paper, we solve the existence part of the L p dual Minkowski problem for p > 1 and q > 0, and we also discuss the regularity of the solution. article Next article 52A40 Keywords
WebLp-Minkowski problem is quite different from the path taken in [Lul] in solving the even Lp-Minkowski problem. The solution to the volume-normalized even Lp-Minkowski problem for all p > 1 is needed in [LuYZ2]. A compact convex subset of Euclidean n-space Rn will be called a convex body. Associated with a convex body K is its support function h ...
WebLp-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 ... simpsons grandma crosswordWeb29 de jun. de 2024 · In this paper, we prove the uniqueness of the Lp Minkowski problem for q -torsional rigidity with p > 1 and q > 1 in smooth case. Meanwhile, the Lp Brunn-Minkowski inequality and the Lp Hadamard variational formula for q -torsional rigidity are established. Download to read the full article text References Aleksandrov A D. simpsons graphic teesWebThis 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. simpsons grampy can ya hear meWeb20 de abr. de 2016 · While the logarithmic Minkowski problem (p = 0) and the centro-affine Minkowski problem (p = −n) are two special cases; see, e.g., [5], and [12]. The L p -Minkowski problem has been... razor blade graphic driversWeb15 de set. de 2024 · In this paper, it is proved that the weak convergence of the Lp Gaussian surface area measures implies the convergence of the corresponding convex … simpsons gravestones balanced budgetWebThe works of Guan and Lin [8] and Chou and Wang [5] focus on existence and regularity for the L p Minkowski problem. Both works make use of the machinery of the theory of … razor blade found in candy in ohio cWebAfter 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 razor blade haircut women