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math.MG2007
Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue
Ahmad El Soufi, Rola Kiwan
We prove that among all doubly connected domains of bounded by two spheres of given radii, the second eigenvalue of the Dirichlet Laplacian achieves its maximum when…
math.SP2007
Extremal first Dirichlet eigenvalue of doubly connected plane domains and dihedral symmetry
Ahmad El Soufi, Rola Kiwan
We deal with the following eigenvalue optimization problem: Given a bounded domain , how to place an obstacle of fixed shape within so as to maximize or mini…