The first Aharonov-Bohm eigenvalue on simply connected surfaces satisfies isoperimetric inequalities and is maximized by centered geodesic disks or antipodal punctures.
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Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces
The first Aharonov-Bohm eigenvalue on simply connected surfaces satisfies isoperimetric inequalities and is maximized by centered geodesic disks or antipodal punctures.