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arXiv · 2504.04996

Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks

Konstantin Pankrashkin·Firoj Sk·Marco Vogel
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Abstract

We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is allowed, and the resulting asymptotic expansions reflect both the sharpness of the peak and the geometric shape of its cross-section. The results are an extension of previous works dealing with peaks whose cross-sections are balls.

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Konstantin Pankrashkin, Firoj Sk, Marco Vogel. 2025-04-07. Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks. https://doi.org/10.1007/s00030-025-01136-5

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