On the Steiner inequality for the \(L_p\) surface area

DOI10.1016/j.aim.2024.109997MaRDI QIDQ6639730

Zixin Cao, Tuo Wang, Yan-Hui Wang

Publication date: 18 November 2024

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

zbMATH Keywords

isoperimetric inequality\(L_p\) surface areaPólya-Szegö principle\(L_p\) Brunn-Minkowski theoryfunctional \(L_p\) Minkowski problemsSteiner inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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