TY - JOUR
AB - We prove that the two dimensional free magnetic Schrödinger operator, with a fixed constant magnetic field and Dirichlet boundary conditions on a planar domain with a given area, attains its smallest possible eigenvalue if the domain is a disk. We also give some rough bounds on the lowest magnetic eigenvalue of the disk.
AU - László Erdös
ID - 2725
IS - 3
JF - Calculus of Variations and Partial Differential Equations
TI - Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
VL - 4
ER -