Camillo De Lellis, Matteo Focardi
Published 2023-08-28Version 1
The aim of these notes is to give a complete self-contained account of the current state of the art in the regularity for planar minimizers and critical points of the Mumford-Shah functional.
Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions
Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation
Regularity theory for fully nonlinear integro-differential equations
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