Constant in two-dimensional \(p\)-compliance-network problem

DOI10.3934/nhm.2014.9.161zbMath1304.49089OpenAlexW2072397640MaRDI QIDQ480060

Al-hassem Nayam

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.161

zbMATH Keywords

shape optimization\(\Gamma\)-convergence\(p\)-compliance-network problem

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05)

Related Items

On the importance of the connectedness assumption in the statement of the optimal \(p\)-compliance problem ⋮ Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ Partial regularity for the optimal \(p\)-compliance problem with length penalization ⋮ Regularity for the planar optimalp-compliance problem

Cites Work

• Unnamed Item
• Asymptotical compliance optimization for connected networks
• An introduction to \(\Gamma\)-convergence
• Compliance estimates for two-dimensional problems with Dirichlet region of prescribed length
• Asymptotics of an optimal compliance-location problem
• Weakly Differentiable Functions
• Shape optimisation problems governed by nonlinear state equations