3 problems

Let $\Psi_{2,\alpha}$ denote the one-parameter family of degree-2 solutions of the complex sine-Gordon 2 equation constructed in the paper with the $(1,3)$-configuration. Morse-ind…

Let $P_0$ be the polynomial appearing in the degree-2 vortex solution and let $(u_3,v_3)$ denote the kernel pair at Fourier mode $m=3$. Kernel rationality conjecture. The denominat…

Taylor expansion conjecture. We conjecture that, as $r\to 0$,