Multiple solutions to a nonlinear curl-curl problem in ${\mathbb{R}}^3$

Jarosław Mederski, Jacopo Schino, Andrzej Szulkin

We look for ground states and bound states $E:{\mathbb{R}}^3\to {\mathbb{R}}^3$ to the curl-curl problem $$\nabla \times (\nabla \times E)=f(x,E)in{\mathbb{R}}^3$$ which ori…