Showing math.APShow all
2 papers · 1 filter
math.AP2026
Multiplicity and concentration of dual solutions for a Helmholtz system
Ruowen Qiu, Fei Yuan, Fukun Zhao
In this paper, we are concerned with the nonlinear Helmholtz system of Hamiltonian type \begin{equation*} \left\{\begin{array}{l} -Îu-k^2 u=P(x)|v|^{p-2}v,\quad \text{in}\ \mathbb…
math.AP2026
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*} Î^2 u-βk^2\, Îu+αk^4 u=W(x)\, |u|^{p-2}u~\text{in}~\mathbb{R}^N, \end{equation*…