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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~~…