52 citations · 198 across the 31 of their papers we have counts for
4 papers · 2 filters
Liouville type theorems for fractional and higher-order fractional Hénon-Lane-Emden systems
Daomin Cao, Guolin Qin
In this paper, we first establish decay estimates for the fractional and higher-order fractional Hénon-Lane-Emden systems by using a nonlocal average and integral estimates, which…
Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell type equations
Wei Dai, Zhao Liu, Guolin Qin
In this paper, we are mainly concerned with the physically interesting static Schrödinger-Hartree-Maxwell type equations \begin{equation*} (-Δ)^{s}u(x)=\left(\frac{1}{|x|^σ}\ast |u…
Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians
Daomin Cao, Wei Dai, Guolin Qin
In this paper, we are concerned with equations \eqref{PDE} involving higher-order fractional Laplacians. By introducing a new approach, we prove the super poly-harmonic properties…
Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains
Wei Dai, Guolin Qin
In this paper, we are mainly concerned with the Dirichlet problems in exterior domains for the following elliptic equations: \begin{equation}\label{GPDE0} (-Δ)^{\fracα{2}}u(x)=f(x,…