4 citations · 4 across the 5 of their papers we have counts for
13 papers · 1 filter
Uniform a priori estimates for -th order Lane-Emden system in with
Wei Dai, Leyun Wu
In this paper, we establish uniform a priori estimates for positive solutions to the (higher) critical order superlinear Lane-Emden system in bounded domains with Navier boundary c…
On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents
Wei Dai, Jingze Fu
In this paper, we investigate various properties (e.g., nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear tri-ha…
Lifespan of solutions to the Strauss type wave system on asymptotically flat space-times
Wei Dai, Daoyuan Fang, Chengbo Wang
By assuming certain local energy estimates on -dimensional asymptotically flat space-time, we study the existence portion of the \emph{Strauss} type wave system. Firstly we…
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…