Optimal partitions for Robin Laplacian eigenvalues
Analysis of PDEs
2018-03-13 v1
Abstract
We prove the existence of an optimal partition for the multiphase shape optimization problem which consists in minimizing the sum of the first Robin Laplacian eigenvalue of mutually disjoint {\it open} sets which have a -countably rectifiable boundary and are contained into a given box in
Cite
@article{arxiv.1803.03813,
title = {Optimal partitions for Robin Laplacian eigenvalues},
author = {Dorin Bucur and Ilaria Fragalà and Alessandro Giacomini},
journal= {arXiv preprint arXiv:1803.03813},
year = {2018}
}