For magnetic Neumann Laplacians on planar domains with outward peaks of sharpness q, the n-th eigenvalue grows like lambda^{2/(q+1)} with an explicit model-operator constant.
Onset of superconductivity in decreasing fields for general domains
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Eigenvalues of the Magnetic Neumann Laplacian on Domains with Peaks
For magnetic Neumann Laplacians on planar domains with outward peaks of sharpness q, the n-th eigenvalue grows like lambda^{2/(q+1)} with an explicit model-operator constant.