Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator

Isabeau Birindelli; Fabiana Leoni

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arXiv · 1306.3396

Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator

Isabeau Birindelli·Fabiana Leoni

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Abstract

We explicitly evaluate the principal eigenvalue of the extremal Pucci's sup--operator for a class of special plane domains, and we prove that, for fixed area, the eigenvalue is minimal for the most symmetric set.

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Isabeau Birindelli, Fabiana Leoni. 2013-07-05. Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator. https://arxiv.org/abs/1306.3396

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