3 papers
math.AP2022
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…
math.AP2022
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~~…
math.AP2015
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…