42 citations · 92 across the 6 of their papers we have counts for
6 papers · 1 filter
Critical quasi-linear Schrödinger system with -Laplacian
Neng cheng, Wei Dai, Zhao Liu
In this paper, we mainly consider positive solution to the -critical quasi-linear Schrödinger system with -Laplacian: \begin{equation*}\begin{cases} -Δ_p u = u^…
Sharp reversed Hardy-Littlewood-Sobolev inequality with extended kernel
Wei Dai, Yunyun Hu, Zhao Liu
In this paper, we prove the following reversed Hardy-Littlewood-Sobolev inequality with extended kernel \begin{equation*} \int_{\mathbb{R}_+^n}\int_{\partial\mathbb{R}^n_+} \frac{x…
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…
Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains
Zhao Liu, Wenxiong Chen
In this paper, we consider the following non-linear equations in unbounded domains with exterior Dirichlet condition: \begin{equation*}\begin{cases} (-Δ)_p^s u(x)=f(u(x)), & x\…
Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell equations with combined nonlinearities
Wei Dai, Zhao Liu
In this paper, we are concerned with static Schrödinger-Hartree and Schrödinger-Maxwell equations with combined nonlinearities. We derive the explicit forms for positive solution $…
Stein-Weiss inequalities with the fractional Poisson kernel
Lu Chen, Zhao Liu, Guozhen Lu +1
In this paper, we establish the following Stein-Weiss inequality with the fractional Poisson kernel (see Theorem 1.1): \begin{equation}\label{int1} \int_{\mathbb{R}^n_{+}}\int_{\pa…