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math.SP2024
Upper bound for Steklov eigenvalues of warped products with fiber of dimension 2
Jade Brisson, Bruno Colbois
In this note, we investigate the Steklov spectrum of the warped product equipped with the metric , where is a compact surface. We find sharp u…
math.SP2024★ 1 cited
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
Jade Brisson, Bruno Colbois, Katie Gittins
We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature o…
math.SP2024★ 8 cited
A reverse Faber-Krahn inequality for the magnetic Laplacian
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the first eigenvalue of the magnetic Laplacian in a bounded and simply connected planar domain, with uniform magnetic field and Neumann boundary conditions. We investig…