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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math.SP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Geodesic disks uniquely maximize the first positive Neumann eigenvalue among simply connected fixed-area domains on the sphere.
citing papers explorer
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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.
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On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
Geodesic disks uniquely maximize the first positive Neumann eigenvalue among simply connected fixed-area domains on the sphere.