Dual Variational Methods for a nonlinear Helmholtz system

Rainer Mandel, Dominic Scheider

This paper considers a pair of coupled nonlinear Helmholtz equations \begin{align*} -Δu - μu = a(x) \left( |u|^\frac{p}{2} + b(x) |v|^\frac{p}{2} \right)|u|^{\frac{p}{2} - 2}u, \en…