K. Gittins

activity

20242026

most citedUpper bounds for Courant-sharp Neumann and Robin eigenvalues

2 citations · 2 across the 1 of their papers we have counts for

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math.SP2026★ 2 cited

Upper bounds for Courant-sharp Neumann and Robin eigenvalues

Katie Gittins, Corentin LÃ©na

We consider the eigenvalues of the Laplacian on an open, bounded, connected set in $R^{n}$ with $C^{2}$ boundary, with a Neumann boundary condition or a Robin boundary conditi…

math.SP2025

Upper bounds for the Steklov eigenvalues of warped products

Jade Brisson, Bruno Colbois, Alexandre Girouard +1

We obtain upper bounds for the Steklov eigenvalues of warped products $I^c ◯ \times_{h} I^£$ , where $I^c ◯$ is a compact Riemannian manifold with boundary and $I^£$ is a closed Riemannian mani…

math.SP2025

Nodal counts for the Robin problem on Lipschitz domains

We consider the Courant-sharp eigenvalues of the Robin Laplacian for bounded, connected, open sets in $R^{n}$ , $n \geq 2$ , with Lipschitz boundary. We prove Pleijel's theore…

math.SP2024

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…