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arXiv · 2606.15194

On domain monotonicity of Steklov eigenvalues

Sagar Basak·Sheela Verma
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Abstract

In this article, we prove a variant of domain monotonicity property for the Steklov eigenvalues of the Laplacian on strictly star-shaped bounded domains contained in $\mathbb{R}^n$. As an application of this result, we obtain an upper and a lower bound for Steklov eigenvalues on convex domains.

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Sagar Basak, Sheela Verma. 2026-06-13. On domain monotonicity of Steklov eigenvalues. https://arxiv.org/abs/2606.15194

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