3 citations · 4 across the 9 of their papers we have counts for
9 papers
Existence of nontrivial solutions to a fourth-order Kirchhoff type elliptic equation with critical exponent
Qian Zhang, Yuzhu Han
In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem is that it involves both a nonl…
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…
Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
Yuzhu Han, Qingwei Li
In this paper we will apply the modified potential well method and variational method to the study of the long time behaviors of solutions to a class of parabolic equation of Kirch…
Extinction of solutions to a class of fast diffusion systems with nonlinear sources
Yuzhu Han, Wenjie Gao
In this paper, the finite time extinction of solutions to the fast diffusion system , $v_t=\mathrm{div}(|\nabla v|^{q-2}\nabla v)+u^…