WebThe dual $L_p$-Minkowski problem with $p<0 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 …

FLOW BY GAUSS CURVATURE TO THE ALEKSANDROV AND DUAL MINKOWSKI PROBLEMS

WebThe dual q-Minkowski problem was recently introduced by Huang, Lutwak, Yang, and Zhang [30] where they proved the existence of symmetric weak solutions for the case q2(0;n+ 1) under some conditions. Their conditions were recently improved by Zhao [45]. For q<0 the existence and uniqueness of weak solution were obtained in [44]. WebContribute to sbm2024/sbm development by creating an account on GitHub. screenshot tastatur kombi

The Lp dual Minkowski problem for p > 1 and q > 0 - ScienceDirect

WebMass Transportation Functionals on the Sphere with Applications to the Logarithmic Minkowski Problem Moscow Mathematical Journal 10.17323/1609-4514-2024-20-1-67-91Webp 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 WebIn this paper, we consider the Lp dual Minkowski problem by geometric variational method. Using anisotropic Gauss–Kronecker curvature flows, we establish the exis-tence of smooth solutions of the Lp dual Minkowski problem when pq ≥ 0 and the givendataiseven.If f ≡ 1,weshowundersomerestrictionson p andq thattheonlypawsatively purrfect