49 citations · 107 across the 11 of their papers we have counts for
11 papers
On a Fractional Nirenberg problem involving the square root of the Laplacian on
Yan Li, Zhongwei Tang, Ning Zhou
In this paper, we are devoted to establishing the compactness and existence results of the solutions to the fractional Nirenberg problem for when the prescribing $σ…
The A Priori Estimate and Existence of the Positive Solution for A Nonlinear System Involving the Fractional Laplacian
Ran Zhuo, Yan Li
In the paper, we consider the fractional elliptic system \begin{equation*}\left\{\begin{array}{ll} (- Δ)^{\frac{α_1}{2}}u(x)+\sum\limits^n_{i=1}b_i(x)\frac{\partial u}{\partial x_i…
A Liouville Theorem for the Higher Order Fractional Laplacian
Ran Zhuo, Yan Li
We deal with the higher-order fractional Laplacians by two methods: the integral method and the system method. The former depends on the integral equation equivalent to the differe…
Symmetry and nonexistence of positive solutions for fractional systems
Pei Ma, Yan Li, Jihui Zhang
This paper is devoted to study the nonexistence results of positive solutions for the following fractional Hnon system \begin{eqnarray*}\left\{ \begin{array}{lll} &(-\tr…
Symmetry of Solutions for a Fractional System
Yan Li, Pei Ma
We consider the following equations: \begin{equation*} \left\{\begin{array}{ll} (-\triangle)^{α/2}u(x)=f(v(x)), \\ (-\triangle)^{β/2}v(x)=g(u(x)), &x \in R^{n},\\ u,v\geq 0, &x \in…
A Pohozaev Identity for the Fractional Hnon System
Pei Ma, Fengquan Li, Yan Li
In this paper, we study the Pohozaev identity associated with a Hnon-Lane-Emden system involving the fractional Laplacian: \begin{equation} \left\{\begin{array}{ll} (-\t…