Summary
We prove the existence of minimizing pairs (K, u), K compact set ofR N and u∈W1, p (Ω/K), for the functional
when the integrand f(x, z) is convex with respect to z, |z|p≤f(x, z)≤L|z|p, p>1, and satisfies suitable assumptions of uniform continuity in x with respect to z.
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Entrata in Redazione il 10 luglio 1998.
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Trombetti, C. Existence of minimizers for a class of anisotropic free discontinuity problems. Annali di Matematica pura ed applicata 177, 277–292 (1999). https://doi.org/10.1007/BF02505913
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DOI: https://doi.org/10.1007/BF02505913