3 papers
math.AP2025
Multiple existence and qualitative property of nodal solutions for coupled elliptic equations
Haoyu Li, Zhi-Qiang Wang
The paper studies nodal solutions having prescribed componentwise nodal data for the following coupled nonlinear elliptic equations \begin{equation} \left\{ \begin{array}{lr} -Δu_{…
math.AP2025
Global bifurcations of nodal solutions for coupled elliptic equations
Haoyu Li, Olímpio Hiroshi Miyagaki, Zhi-Qiang Wang
We investigate the global bifurcation structure of the radial nodal solutions to the coupled elliptic equations \begin{equation} \left\{ \begin{array}{lr} -Δu+u=u^3+βuv^2\mbox{ in…
math.AP2023
Multiple Non-radial Solutions for Coupled Schrödinger Equations
Xiaopeng Huang, Haoyu Li, Zhi-Qiang Wang
The paper deals with the existence of non-radial solutions for an -coupled nonlinear elliptic system. In the repulsive regime with some structure conditions on the coupling and…