The L_p Minkowski problem for the electrostatic p-capacity for $p\ge n$

DOI10.1512/iumj.2021.70.8719zbMath1483.31025OpenAlexW3211028869MaRDI QIDQ5014750

Ge Xiong, Xinbao Lu

Publication date: 8 December 2021

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

Full work available at URL: https://doi.org/10.1512/iumj.2021.70.8719

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

The Orlicz Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity ⋮ The uniqueness of the \(L_p\) Minkowski problem for \(q\)-torsional rigidity ⋮ 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 ⋮ On the Orlicz Minkowski problem for logarithmic capacity

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