2 problems

Let $\beta\in(0,\pi)$ be the opening angle of the corner, let $\mu$ be the parameter, and let $E_{\mathrm{corner}}(\mu)$ and $E_{\mathrm{corr}}(\mu)$ denote respectively the corner…

Let $\mathcal{S}_{\beta}$ be an infinite sector of opening angle $\beta\in(0,\pi)$, and let $\mu_{\beta}$ denote the bottom of the spectrum of the Neumann magnetic Schrödinger oper…