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arXiv · 2503.19852

$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

Pier Domenico Lamberti·Luigi Provenzano
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Abstract

We prove that the Steklov eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular by adapting a classical argument combined with the Rellich-Pohozaev identity.

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Pier Domenico Lamberti, Luigi Provenzano. 2025-03-25. $H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity. https://arxiv.org/abs/2503.19852

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