1 citations · 1 across the 6 of their papers we have counts for
6 papers
Nonexistence of anti-symmetric solutions for fractional Hardy-Hénon System
Jiaqi Hu, Zhuoran Du
We study anti-symmetric solutions about the hyperplane to the following fractional Hardy-Hénon system $$ \left\{\begin{aligned} &(-Δ)^{s_1}u(x)=|x|^αv^p(x),\ \ x\in\mat…
Classification of solutions to equations involving Higher-order fractional Laplacian
Zhuoran Du, Zhenping Feng, Jiaqi Hu +1
In this paper, we are concerned with the following equation involving higher-order fractional Lapalacian \begin{equation*} \left\{\begin{aligned} &(-Δ)^{p+{\fracα{2}}}u(x)=u_+^γ~~…
Classification of solutions to several semi-linear polyharmonic equations and fractional equations
Zhuoran Du, Zhenping Feng, Yuan Li
We are concerned with the following semi-linear polyharmonic equation with integral constraint \begin{align} \left\{\begin{array}{rl} &(-Δ)^pu=u^γ_+ ~~ \mbox{ in }{\mathbb{R}^n},\\…
Further study on periodic solutions of elliptic equations with a fractional Laplacian
Zhuoran Du, Changfeng Gui
We obtain some existence theorems for periodic solutions to several linear equations involving fractional Laplacian. We also prove that the lower bound of all periods for semilinea…
Asymptotic behavior of positive solutions to a degenerate elliptic equation in the upper half space with a nonlinear boundary condition
Zhuoran Du
We consider positive solutions of the problem \begin{equation} \left\{\begin{array}{l}-\mbox{div}(x_{n}^{a}\nabla u)=0\qquad \mbox{in}\;\;\mathbb{R}_+^n,\\ \frac{\partial u}{\parti…
Properties of the extremal solution for a fourth-order elliptic problem
Baishun Lai, Zhuoran Du
Let denote the largest possible value of such that $$ \{{array}{lllllll} Δ^{2}u=\fracλ{(1-u)^{p}} & \{in}\ \ B, 0<u\leq 1 & \{in}\ \ B, u=\frac{\partial u}{\partial n…