Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Energy identity and necklessness for a nonlinear supersymmetric sigma model. (English) Zbl 1494.53081 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 112, 26 p. (2022). MSC: 53C43 58E20 81T13 81Q60 PDFBibTeX XMLCite \textit{J. Jost} et al., Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 112, 26 p. (2022; Zbl 1494.53081) Full Text: DOI
Liu, Lei; Song, Chong; Zhu, Miaomiao Harmonic maps with free boundary from degenerating bordered Riemann surfaces. (English) Zbl 1489.58006 J. Geom. Anal. 32, No. 2, Paper No. 49, 21 p. (2022). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 35J50 35R35 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Geom. Anal. 32, No. 2, Paper No. 49, 21 p. (2022; Zbl 1489.58006) Full Text: DOI arXiv
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck \(\alpha \)-harmonic maps. (English) Zbl 1492.53085 Adv. Math. 396, Article ID 108105, 68 p. (2022). Reviewer: Bruno Simoes (Lisboa) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Adv. Math. 396, Article ID 108105, 68 p. (2022; Zbl 1492.53085) Full Text: DOI
Li, Jiayu; Liu, Lei; Zhu, Chaona; Zhu, Miaomiao Energy identity and necklessness for \(\alpha\)-Dirac-harmonic maps into a sphere. (English) Zbl 1472.53079 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 146, 19 p. (2021). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Li} et al., Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 146, 19 p. (2021; Zbl 1472.53079) Full Text: DOI
Liu, Lei; Zhu, Miaomiao Boundary value problems for Dirac-harmonic maps and their heat flows. (English) Zbl 1472.53080 Vietnam J. Math. 49, No. 2, 577-596 (2021). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{L. Liu} and \textit{M. Zhu}, Vietnam J. Math. 49, No. 2, 577--596 (2021; Zbl 1472.53080) Full Text: DOI
Han, Xiaoli; Liu, Lei; Zhao, Liang A global weak solution to the Lorentzian harmonic map flow. (English) Zbl 1434.53068 Sci. China, Math. 63, No. 1, 155-166 (2020). MSC: 53C43 58E20 53C50 PDFBibTeX XMLCite \textit{X. Han} et al., Sci. China, Math. 63, No. 1, 155--166 (2020; Zbl 1434.53068) Full Text: DOI arXiv
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Regularity of Dirac-harmonic maps with \(\lambda\)-curvature term in higher dimensions. (English) Zbl 1430.53070 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 187, 24 p. (2019). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 187, 24 p. (2019; Zbl 1430.53070) Full Text: DOI
Han, Xiaoli; Jost, Jürgen; Liu, Lei; Zhao, Liang Global existence of the harmonic map heat flow into Lorentzian manifolds. (English. French summary) Zbl 1431.53067 J. Math. Pures Appl. (9) 130, 130-156 (2019). Reviewer: Mehmet Akif Akyol (Bingöl) MSC: 53C43 53C50 58E20 PDFBibTeX XMLCite \textit{X. Han} et al., J. Math. Pures Appl. (9) 130, 130--156 (2019; Zbl 1431.53067) Full Text: DOI arXiv
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index. (English) Zbl 1420.53071 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 142, 33 p. (2019). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 142, 33 p. (2019; Zbl 1420.53071) Full Text: DOI
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao The qualitative behavior at the free boundary for approximate harmonic maps from surfaces. (English) Zbl 1425.53077 Math. Ann. 374, No. 1-2, 133-177 (2019). Reviewer: Miguel Paternain (Montevideo) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Math. Ann. 374, No. 1--2, 133--177 (2019; Zbl 1425.53077) Full Text: DOI arXiv
Li, Jiayu; Liu, Lei Partial regularity of harmonic maps from a Riemannian manifold into a Lorentzian manifold. (English) Zbl 1414.53057 Pac. J. Math. 299, No. 1, 33-52 (2019). MSC: 53C43 58E20 53B30 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Liu}, Pac. J. Math. 299, No. 1, 33--52 (2019; Zbl 1414.53057) Full Text: DOI arXiv
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary. (English) Zbl 1416.53060 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 365-387 (2019). Reviewer: Bruno Simoes (Lisboa) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 365--387 (2019; Zbl 1416.53060) Full Text: DOI arXiv
Han, Xiaoli; Jost, Jürgen; Liu, Lei; Zhao, Liang Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces. (English) Zbl 1384.53058 Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 175, 31 p. (2017). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{X. Han} et al., Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 175, 31 p. (2017; Zbl 1384.53058) Full Text: DOI
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao A global weak solution of the Dirac-harmonic map flow. (English) Zbl 1380.53068 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1851-1882 (2017). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1851--1882 (2017; Zbl 1380.53068) Full Text: DOI
Li, Yuxiang; Liu, Lei; Wang, Youde Blowup behavior of harmonic maps with finite index. (English) Zbl 1425.53078 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 146, 16 p. (2017). Reviewer: Antonio Masiello (Bari) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{Y. Li} et al., Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 146, 16 p. (2017; Zbl 1425.53078) Full Text: DOI arXiv
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow. (English) Zbl 1381.53110 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 108, 26 p. (2017). Reviewer: Gabjin Yun (Yongin) MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{J. Jost} et al., Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 108, 26 p. (2017; Zbl 1381.53110) Full Text: DOI
Liu, Lei; Yin, Hao Neck analysis for biharmonic maps. (English) Zbl 1355.58004 Math. Z. 283, No. 3-4, 807-834 (2016). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 35J50 53C43 PDFBibTeX XMLCite \textit{L. Liu} and \textit{H. Yin}, Math. Z. 283, No. 3--4, 807--834 (2016; Zbl 1355.58004) Full Text: DOI arXiv
Liu, Lei; Yin, Hao On the finite time blow-up of biharmonic map flow in dimension four. (English) Zbl 1415.58010 J. Elliptic Parabol. Equ. 1, No. 2, 363-385 (2015). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 58E20 35J50 53C43 PDFBibTeX XMLCite \textit{L. Liu} and \textit{H. Yin}, J. Elliptic Parabol. Equ. 1, No. 2, 363--385 (2015; Zbl 1415.58010) Full Text: DOI arXiv
Liu, Lei No neck for Dirac-harmonic maps. (English) Zbl 1306.53058 Calc. Var. Partial Differ. Equ. 52, No. 1-2, 1-15 (2015). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{L. Liu}, Calc. Var. Partial Differ. Equ. 52, No. 1--2, 1--15 (2015; Zbl 1306.53058) Full Text: DOI