Giovanni Alberti, Guy Bouchitte', Gianni Dal Maso
Published 2001-05-02Version 1
In this paper we present a minimality criterion for the Mumford-Shah functional, and more generally for non convex variational integrals on SBV which couple a surface and a bulk term. This method provides short and easy proofs for several minimality results.
Comments: 45 pages, 7 figures
$Γ$-Convergence of Free-discontinuity Problems
Quantitative analysis of finite-difference approximations of free-discontinuity problems
Integral representation and $Γ$-convergence for free-discontinuity problems with $p(\cdot)$-growth
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