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arXiv · 0903.3326

On spectral minimal partitions: the case of the sphere

B. Helffer·T. Hoffmann-Ostenhof·S. Terracini
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Abstract

We consider spectral minimal partitions. Continuing work of the the present authors about problems for planar domains, [23], we focus on the sphere and obtain a sharp result for 3-partitions which is related to questions from harmonic analysis, in particular to a conjecture of Bishop.

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B. Helffer, T. Hoffmann-Ostenhof, S. Terracini. 2009-03-19. On spectral minimal partitions: the case of the sphere. https://arxiv.org/abs/0903.3326

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