61 citations · 92 across the 8 of their papers we have counts for
8 papers
Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
Yu-Qi Lei, Xian-Hui Ge, Cheng Ran
We explore the chaotic behavior of particle motion in a black hole with quasi-topological electromagnetism. The chaos bound is found to be violated in the higher order expansion of…
A Liouville theorem for an integral equation of the Ginzburg-Landau type
Yutian Lei, Xin Xu
In this paper, we are concerned with a Liouville-type result of the nonlinear integral equation \begin{equation*} u(x)=\overrightarrow{l}+C_*\int_{\mathbb{R}^{n}}\frac{u(1-|u|^{2})…
On critical exponents of a -Hessian equation in the whole space
Yun Wang, Yutian Lei
In this paper, we study negative classical solutions and stable solutions of the following -Hessian equation with radial structure, where $n…
Some existence and nonexistence results for a Schrödinger-Poisson type system
Yutian Lei
In this paper, we study the Schrödinger-Poisson system $$ \left \{ \begin{array}{l} -Δu=\sqrt{p}u^{p-1}v, \quad u>0 \quad in \quad R^n, -Δv=\sqrt{p}u^p, \quad v>0 \quad in \quad R^…
Finite energy solutions and critical conditions of nonlinear equations in
Yutian Lei
This paper is concerned with the critical conditions of nonlinear elliptic equations with weights and the corresponding integral equations with Riesz potentials and Bessel potentia…
Qualitative properties of positive solutions of quasilinear equations with Hardy terms
Yutian Lei
In this paper, we are concerned with the quasilinear PDE with weight where , with $p…
Decay properties of the Hardy-Littlewood-Sobolev systems of the Lane-Emden type
Yutian Lei, Congming Li
In this paper, we study the asymptotic behavior of positive solutions of the nonlinear differential systems of Lane-Emden type -order equations $$\{{array}{l} (-Δ)^k u=v^q,u>0…
Sharp criteria of Liouville type for some nonlinear systems
Yutian Lei, Congming Li
In this paper, we establish the sharp criteria for the nonexistence of positive solutions to the Hardy-Littlewood-Sobolev (HLS) type system of nonlinear equations and the correspon…