The \(L _p\) capacitary Minkowski problem for polytopes

DOI10.1016/j.jfa.2019.06.008zbMath1441.52005OpenAlexW2952559677WikidataQ127727780 ScholiaQ127727780MaRDI QIDQ2324750

Jia Wei Xiong, Ge Xiong, Lu Xu

Publication date: 12 September 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2019.06.008

zbMATH Keywords

capacitypolytope\(L_p\) Minkowski problem

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (21)

The Orlicz Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity ⋮ The discrete Orlicz-Minkowski problem for \(p\)-capacity ⋮ The uniqueness of the \(L_p\) Minkowski problem for \(q\)-torsional rigidity ⋮ The equality cases in Steiner's projection inequality ⋮ The discrete logarithmic Minkowski problem for \(q\)-capacity ⋮ A curvature flow to the \(L_p\) Minkowski-type problem of \(q\)-capacity ⋮ On the polar Orlicz Minkowski type problem for the general mixed \(\mathfrak{p}\)-capacity ⋮ A flow to the Orlicz-Minkowski-type problem of \(\mathfrak{p}\)-capacity ⋮ On the existence of solutions to the Orlicz-Minkowski problem for torsional rigidity ⋮ The functional Orlicz Brunn-Minkowski inequality for \(q\)-capacity ⋮ On the discrete Orlicz electrostatic \(q\)-capacitary Minkowski problem ⋮ A \(L_p\) Brunn-Minkowski theory for logarithmic capacity ⋮ On the \(L_p\) torsional Minkowski problem for \(0 < p < 1\) ⋮ The \(L_p\) electrostatic \(q\)-capacitary Minkowski problem for general measures ⋮ Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems ⋮ The functional form of the dual mixed volume ⋮ On the continuity of the solutions to the $L_p$ capacitary Minkowski problem ⋮ On the Orlicz Minkowski problem for logarithmic capacity ⋮ The L_p Minkowski problem for q-capacity ⋮ The L_p Minkowski problem for the electrostatic p-capacity for $p\ge n$ ⋮ The logarithmic capacitary Minkowski problem for polytopes

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