The \(L_{p}\)-Minkowski problem for \(-n < p < 1\)

DOI10.1016/j.aim.2018.10.032zbMath1406.52016arXiv1710.04401OpenAlexW2761310835MaRDI QIDQ1628430

Deane Yang, Andrea Colesanti, Gabriele Bianchi, Károly jun. Böröczky

Publication date: 4 December 2018

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

Full work available at URL: https://arxiv.org/abs/1710.04401

zbMATH Keywords

Monge-Ampère equation\(L_p\) Minkowski problem\(L_p\)-surface area measure

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Monge-Ampère equations (35J96)

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