On spectral minimal partitions: the case of the sphere
Spectral Theory
2009-03-20 v1 Analysis of PDEs
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.
Cite
@article{arxiv.0903.3326,
title = {On spectral minimal partitions: the case of the sphere},
author = {B. Helffer and T. Hoffmann-Ostenhof and S. Terracini},
journal= {arXiv preprint arXiv:0903.3326},
year = {2009}
}