Stationary configurations for the average distance functional and related problems
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Publication:5388513
zbMath1239.49029arXiv1401.0394MaRDI QIDQ5388513
Eugene Stepanov, Edoardo Mainini, Giusseppe Buttazzo
Publication date: 18 April 2012
Full work available at URL: https://arxiv.org/abs/1401.0394
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The average-distance problem with an Euler elastica penalization ⋮ The Average Distance Problem with Perimeter-to-Area Ratio Penalization ⋮ Regularity of densities in relaxed and penalized average distance problem ⋮ Counterexample to regularity in average-distance problem ⋮ On principal curves with a length constraint ⋮ Regularity for the Optimal Compliance Problem with Length Penalization ⋮ A presentation of the average distance minimizing problem ⋮ Average-distance problem for parameterized curves ⋮ Partial regularity for the optimal \(p\)-compliance problem with length penalization ⋮ Average-distance problem with curvature penalization for data parameterization: regularity of minimizers ⋮ Approximation of Length Minimization Problems Among Compact Connected Sets
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