Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain

Thomas Bartsch, Jaroslaw Mederski

We find solutions $E:\Omega \to {\mathbb{R}}^3$ of the problem \[ \left\{\begin{aligned} &\nabla\times(\nabla\times E) + λE = \partial_E F(x,E) &&\quad \text{in}Ω\\ &ν\times E = 0 &&\quad \…