3 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 $psi_1,psi_2:\mathbb{R}^3\rightarrow\mathbb{C}$ be the complex condensate fields of two-component Ginzburg–Landau theory, and let their projective equivalence class define a ma…

Let $b$ satisfy $1<b<\Theta_0^{-1}$, where $\Theta_0$ is the de Gennes constant, and let $f_0$ and $\mathcal{E}^{\mathrm{corr}}_{\alpha_0}$ denote the optimal one-dimensional profi…