Publications

19. Global existence of smectic liquid crystal flows in dimension two, preprint

18. (with Beomjun Choi and Kyeongsu Choi) Translating surfaces under flows by sub-affine- critical powers of Gauss curvature, preprint.

17. (with Xing-Bin Pan) Long time behavior and field-induced instabilities of smectic liquid crystals, J. Funct. Anal. 281 (2021), no. 3, 109036.

16. (with Youngae Lee) Uniqueness of topological solutions for the Gudnason Model, J. Korean Math. Soc. 58 (2021), 873–894.

15. Hydrodynamics of anisotropic liquid crystals in an applied magnetic field, SIAM J. Math. Anal., 53 (2021), 3123–3157.

14. (with Kin Ming Hui) Vanishing time behavior of solutions to the fast diffusion equation, to appear in Comm. Anal. Geom.  Preprint

13. (with Xing-Bin Pan) Anisotropic nematic liquid crystals in an applied magnetic field, Nonlinearity, 33 (5) (2020), 2035– 2076.  Article  Preprint 

12. (with Youngae Lee) Finite Morse index solutions of fractional Henon-Lane-Emden equation with Hardy potential, Taiwanese J. Math. 26(2) (2022), 251–283.  Preprint   

11. (with Yuan Chen and Yong Yu) Freedericksz Transition in Nematic Liquid Crystal Flows in Dimension Two, SIAM J. Math. Anal. 50 (2018), no. 5, 4838–4860.  Article  Preprint  

10. Lipschitz regularity for viscosity solutions to parabolic p(x,t)-Laplacian equations on Riemannian manifolds, NoDEA Nonlinear Differential Equations Appl. 25 (2018), no. 4, Art. 27, 32 pp.  Article  Preprint  

9. (with Yuan Chen and Yong Yu) Twisted solutions to a simplified Ericksen–Leslie equation,  Arch. Ration. Mech. Anal. 232 (2019), 303–336  Article  Preprint  

8. Harnack inequality for quasilinear elliptic equations on Riemannian manifolds, J. Differential Equations 264 (2018), no. 3, 1613–1660.  Article  Preprint

7. (with Kin Ming Hui) Asymptotic large time behavior of singular solutions of the fast diffusion equation, Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5943–5977.  Article  Preprint 

6. Harnack inequality for degenerate and singular operators of p-Laplacian type on Riemannian manifolds, Math. Ann. 366 (2016), no. 3-4, 1721–1785.  Article  Preprint 

5. (with Yong-Cheol Kim and Ki-Ahm Lee) Regularity for fully nonlinear integro-differential operators with regularly varying kernels, Potential Anal. 44 (2016), no. 4, 673–705.  Article  Preprint

4. Second derivative estimates for uniformly elliptic operators on Riemannian manifolds, Nonlinear Anal. 112 (2015), 215–231.  Article  Preprint

3. (with Ki-Ahm Lee) Parabolic Harnack inequality of viscosity solutions on Riemannian manifolds, J. Funct. Anal. 267 (2014), no. 7, 2152–2198.  Article  Preprint

2. (with Seick Kim and Ki-Ahm Lee) Harnack inequality for nondivergent parabolic operators on Riemannian manifolds, Calc. Var. Partial Differential Equations 49 (2014), no. 1-2, 669–706.  Article  Preprint

1. (with Ki-Ahm Lee) Asymptotic behavior in degenerate parabolic fully nonlinear equations and its application to elliptic eigenvalue problems, J. Differential Equations 254 (2013), no. 8, 3259–3306.  Article  Preprint