Shape Optimization Problems for Metric Graphs

Giuseppe Buttazzo, Berardo Ruffini, Bozhidar Velichkov

We consider the shape optimization problem $$\min \{\mathcal{E}(\Gamma ):\Gamma \in \mathcal{A},{\mathcal{H}}^1(\Gamma )=l\},$$ where ${\mathcal{H}}^1$ is the one-dimensional Hausdorff…