Multiple standing waves of Helmholtz equation with mixed dispersion concentrating in the high frequency limit

Shaoxiong Chen, Fei Yuan, Fukun Zhao +1

In this paper, we study the nonlinear Helmholtz equation with mixed dispersion \begin{equation*} Δ^2 u-βk^2\, Δu+αk^4 u=W(x)\, |u|^{p-2}u~\text{in}~\mathbb{R}^N, \end{equation*} wh…