Solvability for the Ginzburg-Landau equation linearized at the degree-one vortex

Manuel del Pino, Rowan Juneman, Monica Musso

We consider the Ginzburg-Landau equation in the plane linearized around the standard degree-one vortex solution $W(x)=w(r)e^{i\theta }$. Using explicit representation formulae for the Fo…