Inequalities for the lowest magnetic Neumann eigenvalue

TY - JOUR

T1 - Inequalities for the lowest magnetic Neumann eigenvalue

AU - Fournais, S.

AU - Helffer, B.

PY - 2019/7

Y1 - 2019/7

N2 - We study the ground-state energy of the Neumann magnetic Laplacian on planar domains. For a constant magnetic field, we consider the question whether the disc maximizes this eigenvalue for fixed area. More generally, we discuss old and new bounds obtained on this problem.

AB - We study the ground-state energy of the Neumann magnetic Laplacian on planar domains. For a constant magnetic field, we consider the question whether the disc maximizes this eigenvalue for fixed area. More generally, we discuss old and new bounds obtained on this problem.

KW - Isoperimetric inequalities

KW - Magnetic Faber-Krahn inequality

KW - Spectral theory

UR - http://www.scopus.com/inward/record.url?scp=85060354638&partnerID=8YFLogxK

U2 - 10.1007/s11005-018-01154-8

DO - 10.1007/s11005-018-01154-8

M3 - Journal article

AN - SCOPUS:85060354638

SN - 0377-9017

VL - 109

SP - 1683

EP - 1700

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 7

ER -