29 citations · 32 across the 4 of their papers we have counts for
4 papers
Nodal and spectral minimal partitions -- The state of the art in 2015 --
Virginie Bonnaillie-Noël, B. Helffer
In this article, we propose a state of the art concerning the nodal and spectral minimal partitions. First we focus on the nodal partitions and give some examples of Courant sharp…
Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells
Bernard Helffer, Yuri A. Kordyukov
We continue our study of a magnetic Schrödinger operator on a two-dimensional compact Riemannian manifold in the case when the minimal value of the module of the magnetic field is…
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-…
On spectral minimal partitions II, the case of the rectangle
V. Bonnaillie-Noël, B. Helffer, T. Hoffmann-Ostenhof
In continuation of \cite{HHOT}, we discuss the question of spectral minimal 3-partitions for the rectangle , with . I…