20 citations · 41 across the 19 of their papers we have counts for
5 papers · 2 filters
On Gaussian curvature equations in with prescribed non-positive curvature
Huyuan Chen, Feng Zhou, Dong Ye
The purpose of this paper is to study the solutions of with . We introduce the following quantity: $$α_p(K)=\sup\left…
Asymptotic behaviors of governing equation of Gauged Sigma model for Heisenberg ferromagnet
Huyuan Chen, Feng Zhou
In this note, we study weak solutions of equation \begin{equation}\label{eq 00.1} Δu =\frac{4e^u}{1+e^u} -4π\sum^{N}_{i=1}δ_{p_i}+4π\sum^{M}_{j=1}δ_{q_j} \quad{\rm in}\;\; \mathbb{…
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…
Nonexistence of Positive Supersolution to a Class of Semilinear Elliptic Equations and Systems in an Exterior Domain
Huyuan Chen, Rui Peng, Feng Zhou
In this paper, we primarily consider the following semilinear elliptic equation \begin{eqnarray*} \arraycolsep=1pt\left\{ \begin{array}{lll} \displaystyle -Δu= h(x,u)\quad \ &{\rm…
Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential
Huyuan Chen, Xia Huang, Feng Zhou
We are interested in studying positive solutions of Lane-Emden equation where is a nonhomogeneous potential sati…