On spectral minimal partitions: the case of the sphere
Bernard Helffer, Thomas Hoffmann-Ostenhof, Susanna Terracini · arXiv (Cornell University) · 2009
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.