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arXiv · 2410.03498

Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell

Baruch Schneider·Diana Schneiderova·Yifan Zhang
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Abstract

This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks to the known bang-bang distribution of the optimal weight function. The minimisation of the principal eigenvalue of the problem in a spherical shell of an arbitrary dimension is fully solved.

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Baruch Schneider, Diana Schneiderova, Yifan Zhang. 2024-10-04. Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell. https://doi.org/10.1002/mma.10697

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