Singularities of minima: a walk on the wild side of the Calculus of Variations

Abstract I will report on some recent developments concerning the problem of estimating the Hausdorff dimension of the singular sets of solutions to elliptic and variational problems. Emphasis will be given on some open issues. Connections with measure data problems will be outlined. Keywords Partial Regularity

• Type: Journal
• Year: 2008
• Where: JGO
• Authors: Giuseppe Mingione
• Keywords: JGO 2008, Keywords Partial Regularity, Singular Sets, Variational Problems