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math.SP2009★ 3 cited
On spectral minimal partitions: the case of the sphere
B. Helffer, T. Hoffmann-Ostenhof, S. Terracini
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-…
math.SP2006★ 1 cited
Nodal domains and spectral minimal partitions
B. Helffer, T. Hoffmann-Ostenhof, S. Terracini
We consider two-dimensional Schrödinger operators in bounded domains. We analyze relations between nodal domains of eigenfunctions, spectral minimal partitions and spectral propert…