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Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell

Schneider, Baruch et al.
arXiv (All) · Papers
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functional-analysisspectral-theory
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
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