Calculus of Variations and Geometric Measure Theory
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A. Nayam

Constant in two-dimensional p-compliance-network problem

created by nayam on 26 Apr 2013
modified on 01 May 2016

[BibTeX]

Published Paper

Inserted: 26 apr 2013
Last Updated: 1 may 2016

Journal: Network and heterogeneous media
Year: 2013

Abstract:

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 Hausdor ff measure of $\Sigma$ and compute the value of the constant $\theta(p)$ appearing usually in $\Gamma$-limit functional of the rescaled p-compliance functional.


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