On the regularity of the lp minkowski problem

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WebHoldings; Item type Current library Collection Call number Status Date due Barcode Item holds; Book Europe Campus Main Collection: Print: QA273 .D84 2002 (Browse shelf (Opens below)) WebThe 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 …

On the Regularity of the Solution of the n-Dimensional Minkowski …

Web15 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 bodies in the Hausdorff metric for p ≥ 1. Moreover, continuity of the solution to the Lp Gaussian Minkowski problem with respect to p is obtained. Download to read the full … 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 … poppy playtime chapter 2 linkneverdie

几何分析综述 2024（英文版）_田刚；韩青_孔夫子旧书网

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. 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 … 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 … poppy playtime cap 3

On solvability of two-dimensional Lp-Minkowski problem

A flow approach to the planar Lp$L_p$ Minkowski problem

Web20 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... 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, ... irina edwardsWebLp-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 ... irina curse of strahd

"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 " - On the regularity of the lp minkowski problem

On the regularity of the lp minkowski problem

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 … 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 …

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WebWhile 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 regularity of the Lp-Minkowski problem, for example [12,28,40]. In [38], the dual Brunn-Minkowski theory was developed in the 1970s. The most signiﬁcant dual curvature measure and its ...

Web5 de jun. de 2012 · Cone-volume measure, Minkowski problem, Lp-Minkowski problem, log- Minkowski problem. The research of the first author was supported, in part, by EU FP7 IEF grant GEOSUMSET ... Schneider [55] for references). Landmark contributions to establishing regularity for the Minkowski problem are due to (among others) Lewy … 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-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.

Web11 de abr. de 2024 · Publisher preview available. A flow approach to the planar Lp$L_p$ Minkowski problem. April 2024; Mathematische Nachrichten 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 equation theory, Guan and Lin [17] and Chou and Wang [11] focused on the existence and regularity of the Lp Minkowski problem. A solution for p >n +1was

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 …

WebProceedings of the Royal Society of Edinburgh , 151, 1247–1277, 2024 DOI:10.1017/prm.2024.57 The Lp Minkowski problem for q-capacity Zhengmao Chen LCSM (Ministry of ... irina demick topWebNumerical results for the Klein-Gordon equation in de Sitter spacetime irina dvorovenko without makeupWeb作者：田刚；韩青出版社：科学出版社出版时间：2024-07-00 isbn：9787030654427 版次：31 ，购买几何分析综述 2024（英文版）等自然科学相关商品，欢迎您到孔夫子旧书网 poppy playtime chapter 2 new monsterWebWe 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 … irina enrothWebp 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 irina ewald forstWeb19 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. irina fedishinWebThe Minkowski Problem concerns the existence, uniqueness, and regularity of closed convex hypersurfaces whose Gauss curvature (as a function of the outer normals) is … irina fotiou