On Berger's Isoperimetric Problem

Abstract

Berger's isoperimetric problem asks if the flat equilateral torus is λ1-maximal. In 1996, Nadirashvili first gave a positive answer. In this paper, we use El Soufi-Ilias-Ros's method and Bryant's result (arXiv:1507.01485) to give a new proof.

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