On the planar dual Minkowski problem

DOI10.1016/j.aim.2018.05.010zbMath1397.52002OpenAlexW2805222703MaRDI QIDQ1649325

Qi-Rui Li, Shibing Chen

Publication date: 5 July 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2018.05.010

zbMATH Keywords

a priori estimatesnonlinear equationdegree theoryconvex analysisdual Minkowski problemdual curvature measure

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)

Related Items (23)

Multiple solutions of the planar \(L_p\) dual Minkowski problem ⋮ A flow approach to the Musielak-Orlicz-Gauss image problem ⋮ Existence and uniqueness of solutions to the Orlicz Aleksandrov problem ⋮ On the uniqueness and continuity of the dual area measure ⋮ On subspace concentration for dual curvature measures ⋮ Variational analysis of the planar \(L_p\) dual Minkowski problem ⋮ New existence results of the planar \(L_p\) dual Minkowski problem ⋮ On the planar Gaussian-Minkowski problem ⋮ On the uniqueness of solutions to the isotropic \(L_p\) dual Minkowski problem ⋮ The dual Minkowski problem for unbounded closed convex sets ⋮ A \(L_p\) Brunn-Minkowski theory for logarithmic capacity ⋮ A flow method for the dual Orlicz–Minkowski problem ⋮ On the planar \(L_p\)-Minkowski problem ⋮ General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II ⋮ The Minkowski problem in Gaussian probability space ⋮ Variations of a class of Monge-Ampère-type functionals and their applications ⋮ The planar \(L_p\) dual Minkowski problem ⋮ The \(L_p\) dual Minkowski problem and related parabolic flows ⋮ The \(L_p\) Minkowski problem for torsion ⋮ The \(L_p\)-Gaussian Minkowski problem ⋮ Variational characterization for the planar dual Minkowski problem ⋮ The L_p Minkowski problem for q-capacity ⋮ Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\)

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