In continuation of èrevious papers, we analyze the properties of spectral minimal partitions and focus in this paper our analysis on the case of the sphere. We prove that a minimal 3-partition for the sphere S^2 is up to rotation the so called Y-partition. This question is connected to a celebrated conjecture of Bishop in harmonic analysis
Helffer, B., Hoffmann Ostenhof, T., Terracini, S. (2010). On spectral minimal partitions: the case of the sphere. In A. Laptev (a cura di), Around the Research of Vladimir Maz'ya III, Analysis and Applications (pp. 153-178). New York : Springer [10.1007/978-1-4419-1345-6_6].
On spectral minimal partitions: the case of the sphere
TERRACINI, SUSANNA
2010
Abstract
In continuation of èrevious papers, we analyze the properties of spectral minimal partitions and focus in this paper our analysis on the case of the sphere. We prove that a minimal 3-partition for the sphere S^2 is up to rotation the so called Y-partition. This question is connected to a celebrated conjecture of Bishop in harmonic analysis
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