Regularity for the Optimal Compliance Problem with Length Penalization
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Publication:5737787
DOI10.1137/16M1070578zbMath1368.49050arXiv1512.08925MaRDI QIDQ5737787
Antonin Chambolle, Eugene Stepanov, Antoine Lemenant, Jimmy Lamboley
Publication date: 30 May 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08925
Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (5)
On the importance of the connectedness assumption in the statement of the optimal \(p\)-compliance problem ⋮ Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains ⋮ Partial regularity for the optimal \(p\)-compliance problem with length penalization ⋮ Regularity for the planar optimalp-compliance problem ⋮ A selective review on Mumford-Shah minimizers
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