Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients

Andreas Hirsch, Wolfgang Reichel

We consider the nonlinear curl-curl problem $\nabla \times \nabla \times U+V(x)U=f(x,|U{|}^2)U$ in ${\mathbb{R}}^3$ related to the nonlinear Maxwell equations with Kerr-type nonlinear…