Quantitative magnetic isoperimetric inequality
Copyright policy )Quantitative magnetic isoperimetric inequality
In 1996 Erdős showed that among planar domains of fixed area, the smallest principal eigenvalue of the Dirichlet Laplacian with a constant magnetic field is uniquely achieved on the disk. We establish a quantitative version of this inequality, with an explicit remainder term depending on the field strength that measures how much the domain deviates from the disk.
- University of Copenhagen Denmark
- University of Copenhagen (UCPH) Denmark
- University of Copenhagen Denmark
- University of copenhaguen Denmark
- University of Copenhagen Denmark
Faber–Krahn, magnetic Laplacian, FOS: Physical sciences, Estimates of eigenvalues in context of PDEs, Mathematical Physics (math-ph), stability, Mathematics - Spectral Theory, Boundary value problems for second-order elliptic equations, FOS: Mathematics, Faber-Krahn-type inequalities, spectral geometry, Spectral Theory (math.SP), Mathematical Physics
Faber–Krahn, magnetic Laplacian, FOS: Physical sciences, Estimates of eigenvalues in context of PDEs, Mathematical Physics (math-ph), stability, Mathematics - Spectral Theory, Boundary value problems for second-order elliptic equations, FOS: Mathematics, Faber-Krahn-type inequalities, spectral geometry, Spectral Theory (math.SP), Mathematical Physics
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