On the regularity of the lp minkowski problem
Web21 de set. de 2024 · With the Hadamard variational formula, variational method and Lp Minkowski inequality mentioned above, we prove the existence and uniqueness of the … Web13 de jul. de 2024 · In this paper, we consider the \(L_p\) dual Minkowski problem by geometric variational method. Using anisotropic Gauss–Kronecker curvature flows, we establish the existence of smooth solutions of the \(L_p\) dual Minkowski problem when \(pq\ge 0\) and the given data is even. If \(f\equiv 1\), we show under some restrictions on …
On the regularity of the lp minkowski problem
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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 ... 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 …
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. 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, ...
Webp 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 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 …
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
Web22 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 … green curtain trimWeb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 green cushion coversWebThe 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 … green curved sectional sofaWeb29 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. green cushion covers ebay ukgreen cushion 6 outdoorWeb1 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... floyd wickman teamWebLp-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 ... floyd wickman sweathogs