Existence of nodal solutions for Dirac equations with singular nonlinearities

Loïc Le Treust

We prove, by a shooting method, the existence of infinitely many solutions of the form $\psi (x^0,x)=e^{-i\Omega x^0}\chi (x)$ of the nonlinear Dirac equation {equation*} i\underset{μ=0}{\over…