3 citations · 4 across the 6 of their papers we have counts for
7 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…
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,…
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity
Hui Yang, Yuzhu Han
In this paper, a strongly damped semilinear wave equation with a general nonlinearity is considered. With the help of a newly constructed auxiliary functional and the concavity arg…
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…
Blow-up phenomena for a reaction diffusion equation with special diffusion process
Yuzhu Han
This paper is concerned with the blow-up property of solutions to an initial boundary value problem for a reaction diffusion equation with special diffusion processes. It is shown,…
Global asymptotic behavior of solutions to a class of Kirchhoff equations
Yuzhu Han
In this paper, a parabolic type Kirchhoff equation and its stationary counterpart are considered. For the evolution problem, the precise decay rates of the weak solution and of the…