Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy

DOI10.1016/j.matpur.2013.01.006zbMath1282.49037OpenAlexW1992162740MaRDI QIDQ391380

Matteo Focardi, Camillo De Lellis

Publication date: 10 January 2014

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.2013.01.006

zbMATH Keywords

local minimizerhigher integrabilityMumford-Shah energyCaccioppoli partition

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (7)

Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy ⋮ Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition ⋮ Higher integrability for the gradient of Mumford-Shah almost-minimizers ⋮ Higher integrability of the gradient for the thermal insulation problem ⋮ Endpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and Mikayelyan ⋮ Higher integrability for minimizers of the Mumford-Shah functional ⋮ A selective review on Mumford-Shah minimizers

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