Complex solutions and stationary scattering for the nonlinear Helmholtz equation

Huyuan Chen, Gilles Evéquoz, Tobias Weth

We study a stationary scattering problem related to the nonlinear Helmholtz equation $-Δu - k^2 u = f(x,u) \ \ \text{in $\mathbb{R}^N$,}$ where $N\ge 3$ and $k>0$. For a given inc…