Juncheng Wei

activity

20242026

collaborators

Showing 2025Show all

2 papers · 1 filter

math.AP2025

On a new region for the Lane-Emden conjecture in higher dimensions

Kui Li, Mingxiang Li, Juncheng Wei

We study the Lane-Emden conjecture, which asserts the non-existence of non-trivial, non-negative solutions to the Lane-Emden system \[ -Δu = v^p, \quad -Δv = u^q, \quad x \in \math…

math.DG2025

On geometry of $Q_{g}^{(2 k)}$ -curvature

Mingxiang Li, Juncheng Wei, Xingwang Xu

The main purpose of current article is to study the geometry of $Q$ -curvature. For simplicity, we start with a simple model: a complete and conformal metric $g = e^{2 u} ∣ d x ∣^{2}$ on $\m…

On a new region for the Lane-Emden conjecture in higher dimensions

On geometry of Qg(2k)​-curvature

On geometry of $Q_{g}^{(2 k)}$ -curvature