On the continuity of the Continuous Steiner Symmetrization
Optimization and Control
2022-11-10 v1
Abstract
Starting from the Brock's construction of Continuous Steiner Symmetrization of sets, the problem of modifying continuously a given domain up to obtain a ball, preserving its measure and with decreasing first eigenvalue of the Laplace operator, is considered. For a large class of cases it is shown this is possible, while the general question remains still open.
Keywords
Cite
@article{arxiv.2211.04760,
title = {On the continuity of the Continuous Steiner Symmetrization},
author = {Giuseppe Buttazzo},
journal= {arXiv preprint arXiv:2211.04760},
year = {2022}
}
Comments
11 pages, 2 figures