The general dual-polar Orlicz-Minkowski problem

DOI10.1007/s12220-021-00835-6zbMath1482.52008arXiv1910.02178OpenAlexW4206821329MaRDI QIDQ2074733

Sudan Xing, Deping Ye, BaoCheng Zhu

Publication date: 10 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02178

zbMATH Keywords

dual Minkowski problemgeneral dual Orlicz-Minkowski problemgeneral dual volumepetty bodiespolar Orlicz-Minkowski problem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn ⋮ On the polar Orlicz Minkowski type problem for the general mixed \(\mathfrak{p}\)-capacity ⋮ The \((\varphi, \psi)\) Orlicz mixed Petty bodies ⋮ On the existence of solutions to the Orlicz-Minkowski problem for torsional rigidity

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