Qi Guo

collaborators

3 papers

math.DG2026

Nonnegative Bakry--Émery Curvature on Bounded-Degree Graphs Implies Volume Doubling and Poincaré Inequalities

Qi Guo, Xueping Huang, Yi C. Huang

We prove that every connected simple graph of bounded degree satisfying the classical dimension-free Bakry--Émery condition $CD (0, \infty)$ for the unnormalised Laplacian i…

math.AP2026

On Brezis Open Problem 3.1

Qi Guo, Xueping Huang, Yi C. Huang +2

Let $B_{1}$ be the unit disk in $R^{2}$ . We consider the harmonic map equation $- Δ u = ∣\nabla u ∣^{2} u,$ subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\sinθ,…

math.AP2026

The Ekeland--Nirenberg Variational Problem:A Sharp Positivity Threshold and Extensions

Qi Guo, Xueping Huang, Yi Huang

We study the Ekeland--Nirenberg variational problem in the two-dimensional diagonal family \[ J_{a,c,d}(u)=\int_{\Rp^2}\bigl(u_{xy}^2+a u_x^2+c u_y^2+d u^2\bigr)\dd x\dd y, \qquad…