Yuxiang Li

collaborators

3 papers

math.DG2025

Integral gradient estimates on a closed surface

Yuxiang Li, Rongze Sun

Let $(I^£, g)$ be a closed Riemann surface, and let $u$ be a weak solution to equation \[ - Î_g u = Î¼, \] where $I^¼$ is a signed Radon measure. We aim to establish $L^{p}$ estimates…

math.DG2024

3-circle Theorem for Willmore surfaces II--degeneration of the complex structure

Yuxiang Li, Hao Yin, Jie Zhou

We study the compactness of Willmore surfaces without assuming the convergence of the induced complex structures. In particular, we compute the energy loss in the neck in terms of…

math.DG2024

3-circle Theorem for Willmore surface I

Yuxiang Li, Hao Yin

In this paper, we study the blow-up of Willmore surfaces. By using the 3-circle theorem, we prove a decay estimate of the second fundamental form along the neck region. This estima…