On the lp dual minkowski problem
WebOverview Fingerprint Abstract 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≥ 0 and the given data is even.Web15 de out. de 2024 · This paper concerns the L p dual Minkowski problem, which amounts to solving a class of Monge-Ampère type equations on the sphere. Our main purpose is …
On the lp dual minkowski problem
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Web10 de mar. de 2024 · The -Minkowski problem deals with the existence of closed convex hypersurfaces in with prescribed -area measures. It extends the classical Minkowski problem and embraces several important geometric and physical applications. Web20 de jun. de 2012 · In this paper we present various existence results for nonlinear differential equations related to the L p Minkowski problem in the plane and the one …
Web17 de fev. de 2024 · A dual Orlicz-Minkowski problem is then posed with the newly introduced measure in Gardner, Hug, Weil, Xing, and Ye in [20,21]. For more cases, see …WebThe Lp dual curvature measure was introduced by Lutwak, Yang, and Zhang in 2024. The associated Minkowski problem, known as the Lp dual Minkowski problem, asks about existence of a convex body with prescribed Lp dual curvature measure. This question unifies the previously disjoint Lp Minkowski problem with the dual Minkowski …
WebIn this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework …WebA new approach to theLp-Minkowski problem is presented, which solves the volume-normalized formulation for even data and allp 1. TheMinkowski problemdeals with existence, uniqueness, regularity, and sta- bility of closed convex hypersurfaces whose Gauss curvature (as a function of the outer normals) is preassigned.
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WebThe L p dual Minkowski problem contains the L p Minkowski problem and the dual Minkowski problem, two major problems in modern convex geometry that remain open in general. In this paper, existence results on the L p dual Minkowski problem in the weak sense will be provided.the prefix milli has a metric valueWeb31 de dez. de 2024 · The ( p , q p,q )-th dual curvature measures and the L p {L}_{p} dual Minkowski problem were recently introduced by Lutwak, Yang, and Zhang. In this paper, we give a solution to the existence part of the L p {L}_{p} dual Minkowski problem about 0 < p < 1 0\lt p\lt 1 and q > 0 q\gt 0 for arbitrary measures. This fills up previously obtained …sig air handling romaniaWeb1 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 … the prefix-min problem is to find for each iWeb9 de jul. de 2024 · The Lp dual Minkowski problem contains the Lp Minkowski problem and the dual Minkowski problem, two major problems in modern convex geometry …sig air proforce mcx virtus aegWeb19 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 … the prefix milli- meansWeb研究生课程:拓扑学,Brunn-Minkowski理论,Lp-Brunn-Minkowski理论,Lp-空间中凸几何分析. 2.教研项目 (1)数学与应用数学专业人才培养方案改革研究与实践 (批准号: 2008202),湖北省教育厅高等学校省级教学研究项目,参加,2008-2010年。the prefix micro means chemistryWeb16 de nov. de 2016 · Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems Huang, Yong; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Acta Mathematica, Volume 216 (2) – Nov 16, 2016 Read Article Download PDF Share Full Text for Free 64 pages Article Details Recommended References Bookmark … the prefix mono- means