1 citations · 1 across the 4 of their papers we have counts for
4 papers
Integral gradient estimates on a closed surface
Yuxiang Li, Rongze Sun
Let be a closed Riemann surface, and let be a weak solution to equation \[ - Δ_g u = μ, \] where is a signed Radon measure. We aim to establish estimates for…
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…
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…
Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio
Ernst Kuwert, Yuxiang Li
We consider surfaces in of type which minimize the Willmore functional with prescribed isoperimetric ratio. The existence of smooth minimizers was p…