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Optimization of Robin Laplacian Eigenvalue With Indefinite Weight in Spherical Shell
Baruch Schneider, Diana Schneiderová, Yifan Zhang
Source abstract
ABSTRACT This paper is concerned with an optimization problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimization problem thanks to the known bang–bang distribution of the optimal weight function. The minimization of the principal eigenvalue of the problem in a spherical shell of an arbitrary dimension is fully solved.
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