2 citations · 2 across the 9 of their papers we have counts for
11 papers
Global existence and convergence of a density heat flow for strictly subcritical Liouville systems
Zetao Cheng, Haoyu Li, Woongbae Park +1
We study a density heat flow associated with normalized Liouville systems on a closed connected Riemannian surface, and we show that this flow leads to the existence of solutions f…
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…
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} -Δu_i=\sum_{j=1}^n a_{ij}ρ_j\Big(\frac{h_j e^{u_j}}{\int_Ωh_j e^{u_j}}-1\Big)\mbo…
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} -Δu &=λ_1 u- |u|^{p-2}u+ β|u|^{\frac{p}{2}-2}u |v|{^{\frac{p}{2}-1}}v\mbox…
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_{…
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} -Δu_i=\sum_{j=1}^n a_{ij}ρ_j\Big(\frac{h_j e^{u_j}}{\int_Ωh_j e^{u_j}}-1\…
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…
A Semilinear Elliptic Problem with Critical Exponent and Potential Terms
Haoyu Li, Li Ma
This paper addresses the following problem. \begin{equation} \left\{ \begin{array}{lr} -Δu=λI_α*_Ωu+|u|^{2^*-2}u\mbox{ in }Ω,\nonumber u\in H_0^1(Ω).\nonumber \end{array} \right. \…
A Liouville-type theorem for the coupled Schrödinger systems and the uniqueness of the sign-changing radial solutions
Haoyu Li, Olímpio Hiroshi Miyagaki
In this paper, we study the sign-changing radial solutions of the following coupled Schrödinger system \begin{equation} \left\{ \begin{array}{lr} -Δu_j+λ_j u_j=μ_j u_j^3+\sum_{i\ne…
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…
Notes on a Superlinear Elliptic Problem
Li Haoyu
Based on the theory of invariant sets of descending flow, we give a new proof of the existence of three nontrivial solutions and some remarks on it.