Here are select publications:

• Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric, joint with Jingang Xiong and Lei Zhang, originally posted as arXiv:2106.13380; J. Funct. Anal. (2023), in press (available on line April 26, 2023), https://doi.org/10.1016/j.jfa.2023.109982. The publisher, Elsevier, has provided 50 days' free access (until June 24, 2023) via a Share Link.
• Some remarks on the geometry of a class of locally conformally flat metrics, joint with S. -Y. Alice Chang and Paul Yang. Geometric analysis--in honor of Gang Tian's 60th birthday, 37--56, Progr. Math., 333, Birkhauser/Springer, Cham, [2020].
• Two Kazdan-Warner type identities for the renormalized volume coefficients and the Gauss-Bonnet curvatures of a Riemannian metric, joint with Bin Guo and Haizhong Li, Pacific Journal of Mathematics 251 (2011), 257--268. This is almost the same as posted on arxiv as arXiv:0911.4649[Math DG], with minor corrections.
• On the prescribing $\sigma_2$ curvature equation on $\mathbb S^4$, joint with S. -Y. Alice Chang and Paul Yang. This is the same as posted on arxiv as arXiv:0911.0375[Math DG]. The published version is at Calculus of Variations and PDE, 40(2011), 539-565 (published online July 7, 2010), DOI: 10.1007/s00526-010-0350-2.
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE sigma_k-YAMABE EQUATION NEAR ISOLATED SINGULARITIES, joint with YanYan Li and Eduardo V. Teixeira. This version added a reference which we learned after the paper was first posted on arxiv as arXiv:0911.0234[Math AP]. The published version is at Invent Math, 182(2010), 635-684 (published online Aug. 18, 2010), DOI 10.1007/s00222-010-0274-7.
• On the local solvability of the Nirenberg problem on $S^2$, Discrete and Continuous Dynamical Systems, 28(2010), 607-615, doi:10.3934/ dcds.2010.28.607.
• A Kazdan-Warner type identity for the $\sigma_k$ curvature, published in C. R. Acad. Sci. Paris, Ser. I 342(2006), pp. 475--478. . Please note a mis-statement in lines 2--5 of Remark 4. The correction is here. A preprint version can be found here. Also it has been brought to my attention that Theorem 1 in the case of $k < n$ and $(M,g)$ locally conformally flat had been covered in Theorem 5.2 of J. Viaclovsky's article "Some Fully Nonlinear Equations in Conformal Geometry", Differential equations and mathematical physics (Birmingham, AL, 1999) (Providence, RI), Amer. Math. Soc., Providence, RI, 2000, pp. 425--433.
• Classification of singular radial solutions to the $\sigma_k$ Yamabe equation on annular domains, joint with S. -Y. A. Chang and P. Yang. This is the pre-print version as of June 2005. The published version is at JDE, 216(2005), 482-501.
• Local pointwise estimates for solutions of the $\sigma_2$ curvature equation on $4$ manifolds. This is the pre-print version as of June 2004. The published version is at IMRN, 2004, no. 79, 4269-4292.
• The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature, Communications in Analysis and Geometry, 8 (2000), No.4, 809-869 (joint with Y. -Y Li).
• The Yamabe problem on manifolds with boundary: Existence and compactness results, Duke Mathematical Journal 99(1999), No.3, 489-542 (joint with Y.-Y Li).

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Here are select lecture notes: