Lei Liu

activity

20182020

collaborators

9 papers

math.AP2020

The blow-up analysis of an affine Toda system corresponding to superconformal minimal surfaces in $S^{4}$

Lei Liu, Guofang Wang

In this paper, we study the blow-up analysis of an affine Toda system corresponding to minimal surfaces into $S^{4}$ [19]. This system is an integrable system which is a na…

math.DG2019

Harmonic maps with free boundary from degenerating bordered Riemann surfaces

Lei Liu, Chong Song, Miaomiao Zhu

We study the blow-up analysis and qualitative behavior for a sequence of harmonic maps with free boundary from degenerating bordered Riemann surfaces with uniformly bounded energy.…

math.FA2019

On the $j$ -th Eigenvalue of Sturm-Liouville Problem and the Maslov Index

Xijun Hu, Lei Liu, Li Wu +1

In the previous papers \cite{HLWZ,KWZ}, the jump phenomena of the $j$ -th eigenvalue were completely characterized for Sturm-Liouville problems. In this paper, we show that the jump…

math.DG2019

Global existence of the harmonic map heat flow into Lorentzian manifolds

Xiaoli Han, Juergen Jost, Lei Liu +1

We investigate a parabolic-elliptic system for maps $(u, v)$ from a compact Riemann surface $M$ into a Lorentzian manifold $N \times R$ with a warped product metric. That s…

math.DG2018

The qualitative behavior at the free boundary for approximate harmonic maps from surfaces

Juergen Jost, Lei Liu, Miaomiao Zhu

Let ${u_{n}}$ be a sequence of maps from a compact Riemann surface $M$ with smooth boundary to a general compact Riemannian manifold $N$ with free boundary on a smooth submanifold…

math.DG2018

Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary