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2024 Journal Article Biconservative hypersurfaces with constant scalar curvature in space formsFu, Yu, Hong, Min-Chun, Yang, Dan and Zhan, Xin (2024). Biconservative hypersurfaces with constant scalar curvature in space forms. Annali di Matematica Pura ed Applicata. doi: 10.1007/s10231-024-01527-y |
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2023 Journal Article Biharmonic conjectures on hypersurfaces in a space formFu, Yu, Hong, Min-Chun and Zhan, Xin (2023). Biharmonic conjectures on hypersurfaces in a space form. Transactions of the American Mathematical Society, 376 (12), 8411-8445. doi: 10.1090/tran/9021 |
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2022 Journal Article Existence of minimizers and convergence of critical points for a new Landau-de Gennes energy functional in nematic liquid crystalsFeng, Zhewen and Hong, Min-Chun (2022). Existence of minimizers and convergence of critical points for a new Landau-de Gennes energy functional in nematic liquid crystals. Calculus of Variations and Partial Differential Equations, 61 (6) 219. doi: 10.1007/s00526-022-02321-5 |
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2021 Journal Article On Chen's biharmonic conjecture for hypersurfaces in R5Fu, Yu, Hong, Min-Chun and Zhan, Xin (2021). On Chen's biharmonic conjecture for hypersurfaces in R5. Advances in Mathematics, 383 107697, 1-28. doi: 10.1016/j.aim.2021.107697 |
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2021 Journal Article The Oseen–Frank energy functional on manifoldsHong, Min-Chun (2021). The Oseen–Frank energy functional on manifolds. Vietnam Journal of Mathematics, 49 (2), 597-613. doi: 10.1007/s10013-020-00468-2 |
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2020 Journal Article Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie systemFeng, Zhewen, Hong, Min-Chun and Mei, Yu (2020). Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system. SIAM Journal on Mathematical Analysis, 52 (1), 481-523. doi: 10.1137/18m1182887 |
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2019 Journal Article The energy identity for a sequence of Yang–Mills α -connectionsHong, Min-Chun and Schabrun, Lorenz (2019). The energy identity for a sequence of Yang–Mills α -connections. Calculus of Variations and Partial Differential Equations, 58 (3) 83. doi: 10.1007/s00526-019-1535-y |
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2019 Journal Article Well-posedness of the Ericksen–Leslie system with the Oseen–Frank energy in Luloc3(R3)Hong, Min-Chun and Mei, Yu (2019). Well-posedness of the Ericksen–Leslie system with the Oseen–Frank energy in Luloc3(R3). Calculus of Variations and Partial Differential Equations, 58 (1) 3. doi: 10.1007/s00526-018-1453-4 |
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2018 Journal Article Biharmonic hypersurfaces with constant scalar curvature in space formsFu, Yu and Hong, Min-Chun (2018). Biharmonic hypersurfaces with constant scalar curvature in space forms. Pacific Journal of Mathematics, 294 (2), 329-350. doi: 10.2140/pjm.2018.294.329 |
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2018 Journal Article The rectified n-harmonic map flow with applications to homotopy classesHong, Min-Chun (2018). The rectified n-harmonic map flow with applications to homotopy classes. Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze, 18 (4), 1249-1283. doi: 10.2422/2036-2145.201701_010 |
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2017 Journal Article Finite time blowup of the n-harmonic flow on n-manifoldsCheung, Leslie Hon-Nam and Hong, Min-Chun (2017). Finite time blowup of the n-harmonic flow on n-manifolds. Calculus of Variations and Partial Differential Equations, 57 (9) 9, 1-24. doi: 10.1007/s00526-017-1282-x |
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2015 Journal Article The Yang-Mills α-flow in vector bundles over four manifolds and its applicationsHong, Min-Chun, Tian, Gang and Yin, Hao (2015). The Yang-Mills α-flow in vector bundles over four manifolds and its applications. Commentarii Mathematici Helvetici, 90 (1), 75-120. doi: 10.4171/CMH/347 |
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2014 Journal Article Blow-up criteria of strong solutions to the Ericksen-Leslie system in ℝ3Hong, Min-Chun, Li, Jinkai and Xin, Zhouping (2014). Blow-up criteria of strong solutions to the Ericksen-Leslie system in ℝ3. Communications in Partial Differential Equations, 39 (7), 1284-1328. doi: 10.1080/03605302.2013.871026 |
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2014 Journal Article Some results on harmonic mapsHong, Min-Chun (2014). Some results on harmonic maps. Bulletin of the Institute of Mathematics Academia Sinica New Series, 9 (2), 187-221. |
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2013 Journal Article On the sacks-uhlenbeck flow of Riemannian surfacesHong, Min-Chun and Yin, Hao (2013). On the sacks-uhlenbeck flow of Riemannian surfaces. Communications in Analysis and Geometry, 21 (5), 917-955. doi: 10.4310/CAG.2013.v21.n5.a3 |
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2012 Journal Article Global existence of solutions of the liquid crystal flow for the Oseen–Frank model in R2Hong, Min-Chun and Xin, Zhouping (2012). Global existence of solutions of the liquid crystal flow for the Oseen–Frank model in R2. Advances in Mathematics, 231 (3-4), 1364-1400. doi: 10.1016/j.aim.2012.06.009 |
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2012 Journal Article Partial regularity of a minimizer of the relaxed energy for biharmonic mapsHong, Min-Chun and Yin, Hao (2012). Partial regularity of a minimizer of the relaxed energy for biharmonic maps. Journal of Functional Analysis, 262 (2), 682-718. doi: 10.1016/j.jfa.2011.10.003 |
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2011 Journal Article A new approximation of relaxed energies for harmonic maps and the Faddeev modelGiaquinta, Mariano, Hong, Min-Chun and Yin, Hao (2011). A new approximation of relaxed energies for harmonic maps and the Faddeev model. Calculus of Variations and Partial Differential Equations, 41 (1-2), 45-69. doi: 10.1007/s00526-010-0353-z |
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2011 Journal Article Global existence of solutions of the simplified Ericksen-Leslie system in dimension twoHong, Min-Chun (2011). Global existence of solutions of the simplified Ericksen-Leslie system in dimension two. Calculus of Variations And Partial Differential Equations, 40 (1-2), 15-36. doi: 10.1007/s00526-010-0331-5 |
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2010 Journal Article Global existence for the Seiberg–Witten flowHong, Min-Chun and Schabrun, Lorenz (2010). Global existence for the Seiberg–Witten flow. Communications In Analysis And Geometry, 18 (3), 433-473. doi: 10.4310/CAG.2010.v18.n3.a2 |
