Maurizio Paolini

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Solutions of the so-called prescribed curvature problem min A⊆Ω P Ω (A) − A g(x), g being the curvature field, are approximated via a singularly perturbed elliptic PDE of bistable type. For nondegenerate relative minimizers A ⊂⊂ Ω we prove an O(2 | log | 2) error estimate (where stands for the perturbation parameter), and show that this estimate is(More)
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