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math.AP2026
Infinitely many sign-changing solutions for critical Hamiltonian systems with linear perturbation
Yuxia Guo, Congzheng Xuanyuan
In this paper, we study the following elliptic system \begin{equation}\label{main_1} \begin{cases} -Δu = |v|^{p-1} v + ε(αu + β_1 v), & \text{in } Ω, \\ -Δv = |u|^{q-1} u + ε(β_2 u…
math.AP2025
Construction of solutions for a critical elliptic system of Hamiltonian type
Yuxia Guo, Congzheng Xuanyuan, Tingfeng Yuan
We consider the following nonlinear elliptic system of Hamiltonian type with critical exponents: \begin{equation*} \begin{cases} -Δu + V(|y'|,y'')\, u = |v|^{p-1}v, & \text{in } \m…
math.AP2024
Multiple Boundary Peak Solution for Critical Elliptic System with Neumann Boundary
Yuxia Guo, Shengyu Wu, TingFeng Yuan
We consider the following elliptic system with Neumann boundary: \begin{equation} \begin{cases} -Δu + μu=v^p, &\hbox{in } Ω, \\-Δv + μv=u^q, &\hbox{in } Ω, \\\frac{\partial u}{\par…