<span class="mathjax-formula">$\Gamma $</span>-convergence and absolute minimizers for supremal functionals

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Lussardi, An approximation result for free discontinuity functionals by means of non-local energies. Vitali, Non local approximation of free-discontinuity functionals with

An explicit characterization of Young measures generated by sequences fulfilling Au k = 0 (A-free sequences) was completely given in [15], following earlier works by Kinderlehrer

In this section we study the stability of the Γ-convergence result, obtained in Section 4, under average, periodicity and boundary conditions.. The main tool is again the

In a recent paper M¨ uller and Ortiz [4] have introduced the study of convergence properties of discrete dynamics and variational integrators using the tool of Γ-convergence. The

More precisely, for fully general µ , a notion of quasiconvexity for f along the tangent bundle to µ , turns out to be necessary for lower semicontinuity; the sufficiency of

Indeed Corollary 1.5 states the continuity of the supremand f and level convexity in the gradient variable are sufficient to lower semicontinuity with respect to (3).. We come back

Thus our result can be used in adaptive estimation of quadratic functionals in a density model (see for example [4] where white noise is treated), where the theory needs good bounds