A spectral shape optimization problem with a nonlocal competing term
A spectral shape optimization problem with a nonlocal competing term
Abstract We study the minimization of a spectral functional made as the sum of the first eigenvalue of the Dirichlet Laplacian and the relative strength of a Riesz-type interaction functional. We show that when the Riesz repulsion strength is below a critical value, existence of minimizers occurs. Then we prove, …