2 papers
math.DG2026
Nonnegative Bakry--Ãmery 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--Ãmery condition for the unnormalised Laplacian…
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…