Abstract
This paper is about a shape optimization problem related to the Dirichlet Laplacian eigenvalues in the Euclidean plane. More precisely we study the shape of the minimizer in the class of open sets of constant width. We prove that the disk is not a local minimizer except for a limited number of eigenvalues.
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More From: Rendiconti del Circolo Matematico di Palermo Series 2
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