2 papers
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} -Îu = |v|^{p-1} v + ε(αu + β_1 v), & \text{in } Ω, \\ -Îv = |u|^{q-1} u + Î…
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} -Îu + V(|y'|,y'')\, u = |v|^{p-1}v, & \text{in } \…