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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…
math.OC2014
On a classical spectral optimization problem in linear elasticity
Davide Buoso, Pier Domenico Lamberti
We consider a classical shape optimization problem for the eigenvalues of elliptic operators with homogeneous boundary conditions on domains in the -dimensional Euclidean space.…