Compliance estimates for two-dimensional problems with Dirichlet region of prescribed length
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Publication:1943889
DOI10.3934/nhm.2012.7.127zbMath1263.74040OpenAlexW2057712493MaRDI QIDQ1943889
Publication date: 21 March 2013
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2012.7.127
Methods involving semicontinuity and convergence; relaxation (49J45) A priori estimates in context of PDEs (35B45) Compliance or weight optimization in solid mechanics (74P05)
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Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ Constant in two-dimensional \(p\)-compliance-network problem ⋮ Regularity for the Optimal Compliance Problem with Length Penalization ⋮ Where Best to Place a Dirichlet Condition in an Anisotropic Membrane? ⋮ A selective review on Mumford-Shah minimizers
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