On the regularity of the lp minkowski problem
Web1 de jan. de 2024 · In this paper, we study the $ L_p $ dual Minkowski problem, an extension of the dual Minkowski problem. We deal with some cases in which there is no uniform estimate for the Gauss curvature... WebNumerical results for the Klein-Gordon equation in de Sitter spacetime
On the regularity of the lp minkowski problem
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WebLp 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 Web29 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 …
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. Web10 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 …
WebON THE Lp-MINKOWSKI PROBLEM ERWIN LUTWAK, DEANE YANG, AND GAOYONG ZHANG ABSTRACT. A volume-normalized formulation of the Lp-Minkowski problem is … WebThe Minkowski Problem concerns the existence, uniqueness, and regularity of closed convex hypersurfaces whose Gauss curvature (as a function of the outer normals) is …
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 …
Web11 de abr. de 2024 · Publisher preview available. A flow approach to the planar Lp$L_p$ Minkowski problem. April 2024; Mathematische Nachrichten phone shop uppingham roadWeb1 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 … how do you spell bobbiesWeb19 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. phone shop unlockWebThe 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 … how do you spell bobbyWebIn this paper, we pose two kinds of Minkowski problems involving the p-Laplacian operator. The Hadamard variational formulas for some p-Laplacian functionals are … phone shop uxbridgeWebThe 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 … how do you spell boardroomWeb5 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 phone shop wallsend