On the general dual Orlicz-Minkowski problem

DOI10.1512/iumj.2020.69.7844OpenAlexW3013584766MaRDI QIDQ5109045

Sudan Xing, Deping Ye

Publication date: 7 May 2020

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06331

zbMATH Keywords

curvature measuredual Orlicz-Brunn-Minkowski theoryOrlicz-Brunn-Minkowski theorydual Minkowski problemdual curvature measureOrlicz-Minkowski problem\(l_p\) Minkowski problem

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn ⋮ General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I ⋮ A flow approach to the Musielak-Orlicz-Gauss image problem ⋮ Curvature functionals on convex bodies ⋮ On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem ⋮ The \(L_p\)-Gaussian Minkowski problem ⋮ The general dual-polar Orlicz-Minkowski problem ⋮ Inverse Gauss curvature flows and Orlicz Minkowski problem ⋮ Geometry of log-concave functions: the \(L_p\) Asplund sum and the \(L_p\) Minkowski problem ⋮ Affine invariant maps for log-concave functions

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