Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials

Michał Gaczkowski, Jarosław Mederski, Jacopo Schino

We look for multiple solutions $\mathbf{U}:{\mathbb{R}}^3\to {\mathbb{R}}^3$ to the curl-curl problem \[ \nabla\times\nabla\times\mathbf{U}=h(x,\mathbf{U}),\qquad x\in\mathbb{R}^3,…