On the continuity of the Continuous Steiner Symmetrization

Giuseppe Buttazzo

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arXiv · 2211.04760

On the continuity of the Continuous Steiner Symmetrization

Giuseppe Buttazzo

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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.

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Giuseppe Buttazzo. 2022-11-09. On the continuity of the Continuous Steiner Symmetrization. https://arxiv.org/abs/2211.04760

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