Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 30 (2023), No. 2, 615--626
Copyright Heldermann Verlag 2023

On the Continuity of the Continuous Steiner Symmetrization

Giuseppe Buttazzo
Dip. di Matematica, UniversitÓ di Pisa, Italy

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: Steiner symmetrization, shape optimization, torsional rigidity, first eigenvalue, Gamma-convergence.

MSC: 49Q10, 35P15, 49R50, 49J45, 49R05.

[ Fulltext-pdf  (113  KB)] for subscribers only.