3 papers
math.AP2025
Sharp Stability of Global Compactness on the Heisenberg Group
Hua Chen, Yun-lu Fan, Xin Liao
In this paper, we establish a sharp stability inequality on the Heisenberg group for functions that are close to the sum of m weakly interacting Jerison-Lee bubbles. As a consequen…
math.AP2024
Sharp Stability of near a finite sums of ground states
Hua Chen, Yun Lu Fan, Xin Liao
We establish sharp quantitative stability estimates near finite sums of ground states. The results depend on the dimension and the order of nonlinearity.
math.AP2024
Liouville Theorem for Lane Emden Equation of Baouendi Grushin operators
Xin Liao, Hua Chen
In this paper, we establish a Liouville theorem for solutions to the Lane Emden equation involving Baouendi Grushin operators. We focus on solutions that are stable outside a compa…