A lower-epiperimetric inequality for area-minimizing surfaces

DOI10.1002/cpa.20047zbMath1070.49024OpenAlexW1894644213MaRDI QIDQ4651901

Tristan Rivière

Publication date: 23 February 2005

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20047

zbMATH Keywords

integral currentsarea-minimizing integral \(k\)-cyclelower-epiperimetric inequalitysplitting before tilting

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items

Regularity of area minimizing currents. II: Center manifold, On the singularities of a free boundary through Fourier expansion, The regularity theory for the area functional (in geometric measure theory), Regularity of area minimizing currents I: gradient \(L^p\) estimates

Cites Work

• Tangent cones to two-dimensional area-minimizing integral currents are unique
• The singular set of 1-1 integral currents
• An epiperimetric inequality related to the analyticity of minimal surfaces
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)