The isoperimetric problem with density

DOI10.1007/s00283-016-9689-3zbMath1386.49061OpenAlexW2767911680MaRDI QIDQ1702528

Frank Morgan

Publication date: 28 February 2018

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-016-9689-3

zbMATH Keywords

isoperimetric problemGaussian measuremanifolds with densitylog convex density conjecture

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

Unnamed Item, Isoperimetric inequalities in cylinders with density

Cites Work

• Unnamed Item
• Isoperimetric regions in \(\mathbb R^{n}\) with density \(r^{p}\)
• Some isoperimetric problems in planes with density
• Proof of the log-convex density conjecture
• The Log Convex Density Conjecture in Hyperbolic Space