works on
cuboid geometry 1eigenvalue optimization 1maxwell eigenvalues 1shape optimization 1spectral geometry 1

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1 paper

math.SP2026

On a shape optimisation problem for Maxwell's eigenvalues on cuboids

Pier Domenico Lamberti, Luigi Provenzano, Rebecca Sempio

The paper studies how to shape a rectangular box (cuboid) to minimize certain combinations of the first three Maxwell eigenvalues under fixed volume and perimeter, showing that the…