3 papers
math.AP2026
Fully sign-changing Nehari constraint vs sign-changing solutions of a competitive Schrödinger system
Xuejiao Fu, Fukun Zhao
We study a competitive nonlinear Schrödinger system in whose nonlinear potential is localized in small regions that shrink to isolated points. Within a variational f…
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} -Δu-k^2 u=P(x)|v|^{p-2}v,\quad \text{in}\ \mathbb{…
math.AP2025
Existence and multiplicity of -Normalized solutions for the periodic Schrödinger system of Hamiltonian type
Ruowen Qiu, Yuanyang Yu, Fukun Zhao
In this paper, we study the following nonlinear Schrödinger system of Hamiltonian type \begin{equation*} \left\{\begin{array}{l} -Δu+V(x)u=\partial_v H(x,u,v)+ωv, \ x \in \mathbb{R…