4 citations · 4 across the 3 of their papers we have counts for
5 papers
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…
Self-similar solutions of energy-supercritical focusing wave equations in all dimensions
Wei Dai, Thomas Duyckaerts
In this paper, we prove the existence of a countable family of regular spherically symmetric self-similar solutions to focusing energy super-critical semi-linear wave equations \be…
Direct methods for pseudo-relativistic Schrödinger operators
Wei Dai, Guolin Qin, Dan Wu
In this paper, we establish various maximal principles and develop the direct moving planes and sliding methods for equations involving the physically interesting (nonlocal) pseudo…
Existence and axial symmetry of minimal action odd solutions for 2-D Schrödinger-Newton equation
Yang Zhang
We consider the following 2-D Schrödinger-Newton equation \begin{eqnarray*} \begin{cases} -Δu+u=w|u|^{p-1}u \\ -Δw=2 π|u|^p \end{cases}\text{in} \; \mathbb{R}^2 \end{eqnarray*} for…
Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in
Wei Dai, Thomas Duyckaerts
In this paper, we study the existence of uniform a priori estimates for positive solutions to Navier problems of higher order Lane-Emden equations \begin{equation*} (-Δ)^{m}u(x)=u^…