On the regularity of the lp minkowski problem
Web1 de dez. de 2003 · Thus the Lp -Minkowski problem concerns the existence of a closed convex hypersurface whose reciprocal Gauss curvature is ghp−1, where h is the support … Web15 de dez. de 2003 · On the _ {}-Minkowski problem. A volume-normalized formulation of the Lp-Minkowski problem is presented. This formulation has the advantage that a …
On the regularity of the lp minkowski problem
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WebThe Minkowski problem is the basis of the mathematical theory of diffraction as well as for the physical theory of diffraction. In 1953 Louis Nirenberg published the solutions of two … 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 …
WebOn the regularity of the solution of the n-dimensional Minkowski problem. Shiu-Yuen Cheng, Princeton University. Search for more papers by this author. Shing-Tung Yau, … 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 ...
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 WebThis 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.
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, ...
WebMinkowski solved the problem in the category of polyhedrons. Then A. D. Alexandrov and others solved the problem in general. However, this last solution does not provide any … phillip hutchinson bank robberWeb19 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. phillip hymanWeb10 de mar. de 2024 · The -Minkowski problem with super-critical exponents Qiang Guang, Qi-Rui Li, Xu-Jia Wang The -Minkowski problem deals with the existence of closed … try out bardWebWe 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 … tryout appWebThe 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 … try out artWeb22 de fev. de 2024 · Precipitation images play an important role in meteorological forecasting and flood forecasting, but how to characterize precipitation images and conduct rainfall similarity analysis is challenging and meaningful work. This paper proposes a rainfall similarity research method based on deep learning by using precipitation images. The … phillipians 1 icbWeb20 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... phillip ianarelli south euclid