The dual Orlicz-Minkowski problem

DOI10.1007/s12220-018-0002-xzbMath1416.52009arXiv1703.06976OpenAlexW2617911618MaRDI QIDQ1711077

Sudan Xing, Deping Ye, BaoCheng Zhu

Publication date: 16 January 2019

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

Full work available at URL: https://arxiv.org/abs/1703.06976

zbMATH Keywords

curvature measuredual Orlicz-Brunn-Minkowski theoryOrlicz-Brunn-Minkowski theory\(L_p\) Minkowski problemdual Minkowski problemdual curvature measureOrlicz Minkowski problem

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (20)

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 ⋮ On the uniqueness and continuity of the dual area measure ⋮ On the \(L_p\) Gaussian Minkowski problem ⋮ Lp$L_p$‐cosine transform of the (p,q)${(p,q)}$‐th dual curvature measure ⋮ On the general dual Orlicz-Minkowski problem ⋮ Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space ⋮ The \((\varphi, \psi)\) Orlicz mixed Petty bodies ⋮ On the existence of solutions to the Orlicz-Minkowski problem for torsional rigidity ⋮ On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem ⋮ General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II ⋮ Orlicz Addition for Measures and an Optimization Problem for the -divergence ⋮ The functional form of the dual mixed volume ⋮ The general dual-polar Orlicz-Minkowski problem ⋮ The Orlicz–Minkowski problem for measure in ℝn and Orlicz geominimal measures ⋮ The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\) ⋮ Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\) ⋮ 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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