Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell
Spectral Theory
2026-04-01 v1 Functional Analysis
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.
Cite
@article{arxiv.2410.03498,
title = {Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell},
author = {Baruch Schneider and Diana Schneiderova and Yifan Zhang},
journal= {arXiv preprint arXiv:2410.03498},
year = {2026}
}