22 citations · 36 across the 8 of their papers we have counts for
8 papers
Qualitative properties of Hénon type equations with exponential nonlinearity
Zongming Guo, Xia Huang, Dong Ye +1
We are interested in the qualitative properties of solutions of the Hénon type equations with exponential nonlinearity. First, we classify the stable at infinity solutions of $Δu +…
The Stefan problem for the Fisher-KPP equation with unbounded initial range
Weiwei Ding, Yihong Du, Zongming Guo
We consider the nonlinear Stefan problem $$ \left \{ \begin{array} {ll} -d Δu=a u-b u^2 \;\; & \mbox{for } x \in Ω(t), \; t>0, \\ u=0 \mbox{ and } u_t=μ|\nabla_x u |^2 \;\;&\mbox{f…
Existence and nonexistence results for a weighted elliptic equation in exterior domains
Zongming Guo, Xia Huang, Dong Ye
We consider positive solution to the weighted elliptic problem \begin{equation*} \left \{ \begin{array}{ll} -{\rm div} (|x|^θ\nabla u)=|x|^\ell u^p \;\;\; \mbox{in $\mathbb{R}^N \b…
Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity
Zongming Guo, Long Wei, Feng Zhou
The necessary and sufficient conditions for a regular positive entire solution of the biharmonic equation: \begin{equation} \label{0.1} -Δ^2 u=u^{-p} \;\; \mbox{in $\R^N \; (N…
Embeddings of weighted Sobolev spaces and a weighted fourth order elliptic equation
Zongming Guo, Fangshu Wan, Liping Wang
New embeddings of weighted Sobolev spaces are established. Using such embeddings, we obtain the existence and regularity of positive solutions with Navier boundary value problems f…
On Delaunay solutions of a biharmonic elliptic equation with critical exponent
Zongming Guo, Xia Huang, Liping Wang +1
We are interested in the qualitative properties of positive entire solutions of the equation \begin{equation} \label{0.0} Δ^2 u=u^{\frac…