On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates (with J. Ji). Preprint. arXiv
On the singular set of the free boundary for a Monge-Amp¨¨re obstacle problem (with T. Jin and X. Tu). Preprint. arXiv
The Mass-Angular Momentum Inequality for Multiple Black Holes (with Q. Han, M. Khuri and G. Weinstein). Preprint. arXiv
Extinction profiles for the Sobolev critical fast diffusion equation in bounded domains. I. One bubble dynamics (with T. Jin). Preprint. arXiv
Asymptotic analysis of harmonic maps with prescribed singularities (with Q. Han, M. Khuri and G. Weinstein). Preprint. arXiv
Regularity and classification of the free boundary for a Monge-Amp¨¨re obstacle problem (with T. Jin and X. Tu). Adv. Math 482 (2025), Art. No. 110602. arXiv
Regularity of solutions to the Dirichlet problem for fast diffusion equations (with T. Jin). Adv. Math 478 (2025), Art. No. 110390. arXiv
A survey of the isolated singularity problems for the Yamabe equation (in Chinese, joint with X. Du, T. Jin and H. Yang). SCIENTIA SINICA Mathematica 55 (2025), 1029--1058.
Holder regularity for the linearized porous medium equation in bounded domains (with T. Jin). Anal. Theory Appl. 40 (2024), 111--171. arXiv
Stability of the separable solutions for a nonlinear boundary diffusion problem (with T. Jin and X. Yang). J. Math. Pures Appl. 183 (2024), 1--43. arXiv
Optimal regularity and fine asymptotics for the porous medium equation in bounded domains (with T. Jin and X. Ros-Oton). J. Reine Angew. Math. 809 (2024), 269--300. arXiv
Regularity of viscosity solutions of the $\sigma_k$-Loewner-Nirenberg problem (with Y.Y. Li and L. Nguyen). Proc. London Math. Soc. 127 (2023), no. 4, 1--34. arXiv
Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric (with Z.-C. Han and L. Zhang).
J. Funct. Anal. 285 (2023), 109982. arXiv
Bubbling and extinction for some fast diffusion equations in bounded domains (with T. Jin).
Trans. Amer. Math. Soc. Ser. B 10 (2023), 1287--1332. arXiv
Blow up limits of the fractional Laplacian and their applications to the fractional Nirenberg problem (with X. Du, T. Jin and H. Yang).
Proc. Amer. Math. Soc. 151 (2023), no. 11, 4693--4701. arXiv
Optimal boundary regularity for fast diffusion equations in bounded domains (with T. Jin). Amer. J. Math. 145 (2023), no. 1, 151--220. arXiv
Singular extinction profiles of solutions to some fast diffusion equations (with T. Jin). J. Funct. Anal. 283 (2022), 109595. arXiv
Isolated singularities of solutions to the Yamabe equation in dimension 6 (with L. Zhang). Int. Math. Res. Not. (IMRN) Vol. 2022, No. 12, 9571¨C9597. arXiv
On a Rayleigh-Faber-Krahn inequality for the regional fractional Laplacian (with T. Jin and D. Kriventsov). Ann. Appl. Math. 37 (2021), 363--393. arXiv
Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities (with T. Jin). Ann. Inst. Henri Poincare, Analyse Nonlineaire 38 (2021), 1167--1216. arXiv
Existence of entire solutions of Monge-Amp¨¨re equations with prescribed asymptotic behaviors (with J. Bao, Z. Zhou). Calc. Var. Partial Differential Equations 58 (2019), no. 6, Paper No. 193, 12 pp. arXiv
Compactness of conformal metrics with constant $Q$-curvature. I (with Y.Y. Li). Adv. Math 345 (2019), 116--160. arXiv
A derivation of the sharp Moser-Trudinger-Onofri inequalities from the fractional Sobolev inequalities. Peking Math J. 1 (2018), no. 2, 221--229. arXiv
Compactness of solutions to nonlocal elliptic equations (with M. Niu, Z. Peng). J. Funct. Anal. 275(2018), 2333--2372. arXiv
The critical semilinear elliptic equation with boundary isolated singularities. J. Differential Equations 263 (2017), no. 3, 1907--1930.
On local behavior of singular positive solutions to nonlocal elliptic equations (with T. Jin, O S. de Queiroz, Y. Sire). Calc. Var. Partial Differential Equations 56 (2017), no. 1, Art. 9, 25 pp. arXiv
Classification theorems for solutions of higher order boundary conformally invariant problems, I (with L. Sun). J. Funct. Anal. 271 (2016), 3727--3764. arXiv
The Nirenberg problem and its generalizations: A unified approach (with T. Jin, Y.Y. Li). Math. Ann. 369 (2017), no. 1-2, 109--151. arXiv
Schauder estimates for solutions of linear parabolic integro-differential equations (with T. Jin). Discrete Contin. Dyn. Syst. 35 (2015), no 12, 5977--5998.
Solutions of some Monge-Amp\`ere equations with isolated and line singularities (with T. Jin). Adv. Math 289 (2016), 114--141.
Boundary Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates (with H. Dong). Int. Math. Res. Not. (IMRN) 2015 (2015), 7734--7756.
A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds (with T. Jin). Trans. Amer. Math. Soc. 367 (2015), 6751--6770.
On a fractional Nirenberg problem, part II: existence of solutions (with T. Jin, Y.Y. Li). Int. Math. Res. Not. (IMRN) 2015 (2015), no. 6, 1555--1589.
Existence and asymptotics for solutions of a non-local $Q$-curvature equation in dimension three (with T. Jin, A. Maalaoui, L. Martinazzi). Calc. Var. Partial Differential Equations 52 (2015), no. 3-4, 469--488.
A fractional Yamabe flow and some applications (with T. Jin). J. Reine Angew. Math. 696 (2014), 187--223.
On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions (with T. Jin, Y.Y. Li). J. Eur. Math. Soc. (JEMS) 16 (2014), no. 6, 1111--1171.
Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities (with L. Caffarelli, T. Jin, Y. Sire). Arch. Ration. Mech. Anal. 213 (2014), no. 1, 245--268.
A Liouville theorem for solutions of degenerate Monge-Amp\`ere equations (with T. Jin). Comm. Partial Differential Equations 39 (2014), no. 2, 306--320.
Sharp regularity for elliptic systems associated with transmission problems (with J. Bao). Potential Anal. 39 (2013), no. 2, 169--194.
$C^{1,1}$ estimates for elliptic equations with partial and piecewise continuous coefficients. Methods Appl. Anal. 18 (2011), no. 4, 373--389.
A Harnack inequality for fractional Laplace equations with lower order terms (with J. Tan). Discrete Contin. Dyn. Syst. 31 (2011), no. 3, 975--983.
The obstacle problem for Monge-Amp\`ere type equations in non-convex domains (with J. Bao). Commun. Pure Appl. Anal. 10 (2011), no. 1, 59--68.
On J\"orgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Amp\`ere equations (with J. Bao). J. Differential Equations 250 (2011), no. 1, 367--385.
