Mingxiang Li

collaborators

3 papers

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

Existence of complete conformal metrics on $R^{n}$ with prescribed Q-curvature

Mingxiang Li, Biao Ma

Given a smooth function $f (x)$ on $R^{n}$ which is positive somewhere and satisfies $f (x) = O (∣ x ∣^{- l})$ for any $l > \frac{n}{2}$ , we show that there exists a complete and conf…

math.DG2023

Asymptotic behavior of conformal metrics with null Q-curvature

Mingxiang Li

We describe the asymptotic behavior of conformal metrics related to the GJMS operator in the null case, as the prescribed Q-curvature $f_{0} (x) + λ$ gradually changes. We show that i…

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

Existence of complete conformal metrics on Rn with prescribed Q-curvature

Asymptotic behavior of conformal metrics with null Q-curvature

Existence of complete conformal metrics on $R^{n}$ with prescribed Q-curvature