2 problems

Let $\beta>0$ denote the magnetic-field parameter, let $\lambda(\beta)$ be the lowest eigenvalue of the Neumann magnetic Laplacian in the unit disk, and define…

Let $E_{\mathrm{corner},\beta}$ denote the effective Ginzburg–Landau energy associated with a boundary corner of opening angle $\beta$, and let $E_{\mathrm{corr}}$ be the correctio…