5 papers · 1 filter
Existence of solutions to a perturbed critical biharmonic equation with Hardy potential
Qi Li, Yuzhu Han, Jian Wang
\ In this paper, the following biharmonic elliptic problem \begin{eqnarray*} \begin{cases} Δ^2u-λ\frac{|u|^{q-2}u}{|x|^s}=|u|^{2^{**}-2}u+ f(x,u), &x\inΩ,\\ u=\dfrac{\partial u}{\p…
A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: existence and multiplicity of high energy positive solutions
Mengyao Chen, Lun Guo, Qi Li
This paper deals with a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent \begin{equation*} \begin{cases} -Δu+(V_1(x)+λ_1)u=μ_1(|x|^{-4}*u^{2})u+β(|x|^{-4}*v^{…
Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation
Qi Li, Yuzhu Han, Tianlong Wang
In this paper, the following critical biharmonic elliptic problem \begin{eqnarray*} \begin{cases} Δ^2u= λu+μu\ln u^2+|u|^{2^{**}-2}u, &x\inΩ,\\ u=\dfrac{\partial u}{\partial ν}=0,…
Standing waves for two-component elliptic system with critical growth in : the attractive case
Lun Guo, Qi Li, Xiao Luo +1
In this paper, we consider the following two-component elliptic system with critical growth \begin{equation*} \begin{cases} -Δu+(V_1(x)+λ)u=μ_1u^{3}+βuv^{2}, \ \ x\in \mathbb{R}^4,…
Lifespan of solutions to a damped fourth-order wave equation with logarithmic nonlinearity
Yuzhu Han, Qi Li
This paper is devoted to the lifespan of solutions to a damped fourth-order wave equation with logarithmic nonlinearity Finite ti…