Preprint
Inserted: 9 nov 2022
Last Updated: 9 nov 2022
Year: 2022
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: Gamma convergence, shape optimization, Steiner symmetrization, first eigenvalue, Torsional rigidity
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