Michele Zaccaron

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20202025

c u r l c u r l

operator via uniform Gaffney inequalities on perturbed electromagnetic cavities

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math.OC2024

A note on the failure of the Faber-Krahn inequality for the vector Laplacian

David Krejcirik, Pier Domenico Lamberti, Michele Zaccaron

We consider a natural eigenvalue problem for the vector Laplacian related to stationary Maxwell's equations in a cavity and we prove that an analog of the celebrated Faber-Krahn in…