6 papers
Local Uniqueness and Non-degeneracy of Blow Up Solutions To A Chern-Simons System
Zetao Cheng, Haoyu Li, Lei Zhang
In this paper, we study blowup solutions of an important class of Chern-Simons systems. We first show that when blowup of mean-field type occurs, the corresponding blowup solution…
Construction of blowup solutions for Liouville systems
Zetao Cheng, Haoyu Li, Lei Zhang
We study the following Liouville system defined on a flat torus \begin{equation} \left\{ \begin{array}{lr} -Îu_i=\sum_{j=1}^n a_{ij}Ï_j\Big(\frac{h_j e^{u_j}}{\int_Ωh_j e^{u_j}}…
Local uniqueness and non-degeneracy of blowup solutions for regular Liouville systems
Zetao Cheng, Haoyu Li, Lei Zhang
We study the following Liouville system defined on a compact Riemann surface , \begin{equation} -Îu_i=\sum_{j=1}^n a_{ij}Ï_j\Big(\frac{h_j e^{u_j}}{\int_Ωh_j e^{u_j}}-1\Big)\…
A New Approach to Inspect Weakly Coupled Logistic Systems and their Asymptotic Behavior
Haoyu Li, Liliane Maia, Mayra Soares
We consider the weakly coupled elliptic system of logistic type, \begin{equation}\label{LS} \begin{cases} -Îu &=λ_1 u- |u|^{p-2}u+ β|u|^{\frac{p}{2}-2}u |v|{^{\frac{p}{2}-1}}v\m…
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} -Îu_…
Global bifurcations of nodal solutions for coupled elliptic equations
Haoyu Li, OlÃmpio 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} -Îu+u=u^3+βuv^2\mbox{ i…