A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Constant in two-dimensional $p$-compliance-network problem
2014
Networks and Heterogeneous Media
Preserved Fulltext
We consider the problem of the minimization of the p-compliance functional where the control variables Σ are taking among closed connected one-dimensional sets. we prove some estimate from below of the p-compliance functional in terms of the one-dimensional Hausdorff measure of Σ and compute the value of the constant θ(p) appearing usually in Γ-limit functional of the rescaled p-compliance functional.
doi:10.3934/nhm.2014.9.161
fatcat:2h2y2tgovjfanlxbvtcb3sfkh4