40 citations · 151 across the 28 of their papers we have counts for
5 papers · 1 filter
Existence of the maximizing pair for the discrete Hardy-Littlewood-Sobolev inequality
Genggeng Huang, Congming Li, Ximing Yin
In this paper, we study the best constant of the following discrete Hardy-Littlewood-Sobolev inequality, \begin{equation} \sum_{i,j,i\neq j}\frac{f_{i}g_{j}}{\mid i-j\mid^{n-α}}\le…
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…
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…
A degree theory approach for the shooting method
Congming Li
The classical shooting-method is about finding a suitable initial shooting positions to shoot to the desired target. The new approach formulated here, with the introduction and the…