@article {2014,
	title = {Where best to place a Dirichlet condition in an anisotropic membrane?},
	number = {SISSA;61/2014/MATE},
	year = {2014},
	institution = {SISSA},
	abstract = {We study a shape optimization problem for the first eigenvalue of an elliptic operator in divergence form, with non constant coefficients, over a fixed domain $\Omega$.
Dirichlet conditions are imposed along $\partial\Omega$ and, in addition, along a set $\Sigma$ of prescribed length ($1$-dimensional Hausdorff measure).
We look for the best shape and position for the supplementary Dirichlet region $\Sigma$ in order to maximize the first eigenvalue. We characterize the limit distribution of the optimal sets, as their prescribed  length tends to infinity, via $\Gamma$-convergence.},
	url = {http://urania.sissa.it/xmlui/handle/1963/7481},
	author = {Paolo Tilli and Davide Zucco}
}
