6 citations · 9 across the 4 of their papers we have counts for
4 papers
On the Hardy-Littlewood-Sobolev type systems
Ze Cheng, Genggeng Huang, Congming Li
In this paper, we study some qualitative properties of Hardy-Littlewood-Sobolev type systems. The HLS type systems are categorized into three cases: critical, supercritical and sub…
A Liouville theorem for subcritical Lane-Emden system
Ze Cheng, Genggeng Huang, Congming Li
In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-…
Shooting Method with Sign-Changing Nonlinearity
Ze Cheng, Congming Li
In this paper, we study the existence of solution to a nonlinear system: \begin{align} \left\{\begin{array}{cl} -Δu_{i} = f_{i}(u) & \text{in } \mathbb{R}^n, u_{i} > 0 & \text{in }…
An Extended Discrete Hardy-Littlewood-Sobolev Inequality
Ze Cheng, Congming Li
Hardy-Littlewood-Sobolev (HLS) Inequality fails in the "critical" case: μ=n. However, for discrete HLS, we can derive a finite form of HLS inequality with logarithm correction for…