On spectral minimal partitions: the case of the sphere

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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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Spectral Theory, Analysis of PDEs, 35P30 ; 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/223869

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.3326
 http://arxiv.org/abs/0903.3326

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arXiv