Spectral Optimization Problems for Potentials and Measures
Spectral Optimization Problems for Potentials and Measures
In the present paper we consider spectral optimization problems involving the Schrödinger operator $-\Delta +\mu$ on ${\mathbb{R}}^d$, the prototype being the minimization of the $k$-th eigenvalue $\lambda_k(\mu)$. Here $\mu$ may be a capacitary measure with prescribed torsional rigidity (like in the Kohler--Jobin problem) or a classical nonnegative potential $V$ which …