5 citations · 35 across the 32 of their papers we have counts for
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math.SP2015
Dirichlet eigenfunctions on the cube, sharpening the Courant nodal inequality
Bernard Helffer, Rola Kiwan
This paper is devoted to the refine analysis of Courant's theorem for the Dirichlet Laplacian. Many papers (and some of them quite recent) have investigated in which cases this ine…
math.AP2015★ 1 cited
Lower bound for the number of critical points of minimal spectral k-partitions for k large
Bernard Helffer
In a recent paper with Thomas Hoffmann-Ostenhof, we proved that the number of critical points in the boundary set of a k-minimal partition tends to infinity as k tends to infinity.…
math.AP2015
From constant to non-degenerately vanishing magnetic fields in superconductivity
Bernard Helffer, Ayman Kachmar
We explore the relationship between two reference functions arising in the analysis of the Ginzburg-Landau functional. The first function describes the distribution of superconduct…