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math.SP2025
A note on the Maxwell's eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
We analyse the Maxwell's spectrum on thin tubular neighborhoods of embedded surfaces of . We show that the Maxwell eigenvalues converge to the Laplacian eigenvalues of…
math.SP2016
A note on the Neumann eigenvalues of the biharmonic operator
Luigi Provenzano
We study the dependence of the eigenvalues of the biharmonic operator subject to Neumann boundary conditions on the Poisson's ratio. In particular, we prove that the Neumann eigenv…