Lei Liu

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math.DG2026

On the existence problem for a double mean field equation and its application to prescribed curvature problems

Jiayu Li, Lei Liu, Yanjun Liu +1

Let $(M, g)$ be a compact Riemann surface with smooth boundary $\partial M$ . Let $K (x) > 0$ , $h (x) > 0$ or $h (x) \equiv 0$ be two smooth functions on $M$ and $\partial M$ respectively.…

math.DG2026

Asymptotic analysis for approximate harmonic maps from degenerating cylinders and applications to minimal surfaces

Jiayu Li, Lei Liu, Miaomiao Zhu

We investigate the blow-up analysis and quantitative behavior for a sequence of maps ${u_{n}}_{n = 1}^{\infty}$ from degenerating tori $(T^{2}, g_{n})$ or from degenerating cylinders $(S^1\…