The periodic isoperimetric problem

DOI10.1090/S0002-9947-03-03362-2zbMath1046.52002OpenAlexW1602873486MaRDI QIDQ4452272

Pascal Romon, Antonio Ros, Laurent Hauswirth, Joaquín Pérez

Publication date: 12 February 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03362-2

zbMATH Keywords

isoperimetric problem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items

The isoperimetric profile of a smooth Riemannian manifold for small volumes, Isogeometric analysis of the Cahn-Hilliard phase-field model, Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods, The isoperimetric problem for lens spaces, Isoperimetry and volume preserving stability in real projective spaces, Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds, A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint, Comparative computational analysis of the Cahn-Hilliard equation with emphasis on \(C^{1}\)-continuous methods, Isoperimetric estimates in low-dimensional Riemannian products, Courant-sharp eigenvalues of the three-dimensional square torus, Isoperimetric inequalities in crystallography, Regularity of area-minimizing surfaces in 3D polytopes and of invariant hypersurfaces in \(\mathbb R^n\)

Uses Software

• Bilbao Crystallography Server

Cites Work

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