bound states 1magnetic Laplacian 1neumann boundary conditions 1planar sectors 1spectral theory 1type-ii superconductivity 1
From the 1 of 9 linked papers with an AI index.
Showing math.APShow all
3 papers · 1 filter
math.AP2026
Local strong magnetic fields and the Little-Parks effect
Ayman Kachmar, Mikael Sundqvist
Starting from the Ginzburg--Landau model in a planar simply connected domain, with a local compactly supported applied magnetic field, we derive an effective model in the strong fi…
math.AP2026
Isoperimetric inequalities for the lowest magnetic Steklov eigenvalue
Ayman Kachmar, Vladimir Lotoreichik
This paper studies the optimization of the lowest eigenvalue of the magnetic Steklov problem on planar domains. In the bounded domain setting and for magnetic fields of moderate st…
math.AP2025
Isoperimetric inequality with zero magnetic field in doubly connected domains
Mrityunjoy Ghosh, Ayman Kachmar
We investigate how the lowest eigenvalue of a magnetic Laplacian depends on the geometry of a planar domain with a disk shaped hole, where the magnetic field is generated by a sing…