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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…