3 problems

Let $\alpha>0$ and $\beta\in[0,2)$, and define the V-shaped domain … Let $r_N(z)$ be a lightning-plus-polynomial approximation to $z^\alpha$ with tapered lightning poles … and a po…

Let $0<\alpha<1$, let $N=N_1+N_2$, and let … where $\sigma>0$ and $C>0$. Define the lightning plus polynomial approximant … where $b_{N_2}$ is a polynomial and…

Bon's conjecture. The ground state energy, meaning the bottom of the spectrum of $P_{\Omega_\alpha}$, is constant and equal to $\Theta_0$ when