On spectral minimal partitions: the case of the sphere

2009/03/19 by Bernard Helffer, Helffer, B., Thomas Hoffmann-Ostenhof +3 · 1 citation
Computer Science · Mathematics · #35P30 #58J50 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.0903.3326

openalex publication_date 2009/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Variational problems with two phases and their free boundaries

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