Abstract
We study the variational problem
Where Ω is an open set in ℝn,n≧2g∈L q(Ω) ∩L ∞(Ω), 1≦q<+∞, O<λ, μ<+∞ andH n−1 is the (n−1)-dimensional Hausdorff Measure.
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De Giorgi, E., Carriero, M. & Leaci, A. Existence theorem for a minimum problem with free discontinuity set. Arch. Rational Mech. Anal. 108, 195–218 (1989). https://doi.org/10.1007/BF01052971
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DOI: https://doi.org/10.1007/BF01052971