Quasiminimal crystals with a volume constraint and uniform rectifiability.

DOI10.1016/j.matpur.2003.09.008zbMath1034.49044OpenAlexW2027807018MaRDI QIDQ1421407

Séverine Rigot

Publication date: 26 January 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2003.09.008

zbMATH Keywords

perimeteruniform rectifiabilityquasiminimizersAhlfors-regularity

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Length, area, volume, other geometric measure theory (28A75)

Related Items (1)

On the Regularity of Optimal Sets in Mass Transfer Problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morceaux de graphes lipschitziens et intégrales singulières sur une surface
• Regularity theory for almost minimal currents
• Quasiminimal surfaces of codimension 1 and John domains
• Uniform partial regularity of quasi minimizers for the perimeter
• Partial regularity for quasi minimizers of perimeter
• A uniqueness proof for the Wulff Theorem
• Weakly Differentiable Functions
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Quantitative Rectifiability and Lipschitz Mappings
• Some regularity results for minimal crystals
• Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme
• Curvature-Driven Flows: A Variational Approach
• The Wulff theorem revisited

This page was built for publication: Quasiminimal crystals with a volume constraint and uniform rectifiability.