Inserted: 26 apr 2013
Last Updated: 1 may 2016
Journal: Network and heterogeneous media
We consider the problem of the minimization of the $p$-compliance functional where the control variables $\Sigma$ 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 $\Sigma$ and compute the value of the constant $\theta(p)$ appearing usually in $\Gamma$-limit functional of the rescaled p-compliance functional.