1. typos Degree theory for second order nonlinear elliptic operators and its applications, Comm. in PDE 14 (1989), 1541-1578.
2. pdf Scattering by a potential using hyperbolic methods (with A. Bayliss and C.S. Morawetz), Mathematics of Computation 52 (1989), 321-338.
3. Existence of many positive solutions of semilinear elliptic equations on annulus, J. Differential Equations 83 (1990), 348-367.
4. pdf Nonautonomous nonlinear scalar field equations, Indiana Univ. Math. J. 39 (1990), 283-301.
5. Some existence results of fully nonlinear elliptic equations of Monge-Ampere type, Comm. Pure Appl. Math. 43 (1990), 233-271.
6. pdf Existence of multiple solutions of semilinear elliptic equations in $R^N$, in Variational Methods, Editors, H. Berestycki, J.M. Coron and I. Ekeland, Birkh\"auser, (1990), 133-159.
7. pdf On a min-max procedure for the existence of a positive solution for certain scalar field equations in $R^N$ (with A. Bahri), Revista Matem\'atica Iberoamericana 6 (1990), 1-15.
8. Interior gradient estimates for solutions of certain fully nonlinear elliptic equations, J. of Differential Equations 90 (1991), 172-185.
9. On uniformly rotating stars, Arch. Rat. Mech. Anal. 115 (1991), 367-393.
10. Nonexistence of axially symmetric, stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon (with G. Tian), Manuscripta Mathematica 73 (1991), 83-89.
11. Existence of infinitely many critical values of some nonsymmetric functionals, J. Differential Equations 95 (1992), 140-153.
12. Existence of solutions for semi-linear elliptic equations with indefinite linear part, J. of Differential Equations 96 (1992), 89-115.
13. Regularity of harmonic maps with prescribed singularities (with G. Tian), Comm. Math. Phys. 149 (1992), 1-30.
14. Continuity of solutions of uniformly elliptic equations in $R^2$ (with S. Chanillo), Manuscripta Mathematica 77 (1992), 415-433.
15. On ``multibump" bound states for certain semilinear elliptic equations (with S. Alama), Indiana Univ. Math. J. 41 (1992), 983-1026.
16. Harmonic maps with prescribed singularities (with G. Tian), Proceeding of Symposia in pure math. (edited by Greene and Yau) 54 (1993), 317-326.
17. On $ -\Delta u = K(x)u^5$ in $R^3$, Comm. Pure Appl. Math. 46 (1993), 303-340.
18. Nonautonomous nonlinear scalar field equations in $R^2$ (with C. Li), J. Differential Equations 103 (1993), 421-436.
19. Prescribing scalar curvature on $S^3$, $S^4$ and related problems, J. Functional Analysis 118 (1993), 43-118.
20. A $\sup + \inf $ inequality for some nonlinear elliptic equations involving exponential nonlinearities (with H. Brezis and I. Shafrir), J. Functional Analysis 115 (1993), 344-358.
21. The Weyl problem with nonnegative Gauss curvature (with P. Guan), J. Diff. Geom. 39 (1994), 331-342.
22. pdf On diameters of uniformly rotating stars (with S. Chanillo), Comm. Math. Phys. 166 (1994), 417-430.
23. pdf Blow up analysis for solutions of $ -\Delta u = Ve^u$ in dimension two (with I. Shafrir), Indiana Univ. Math. J. 43 (1994), 1255-1270.
24. On Nirenberg's problem and related topics, Topological Methods in Nonlinear Analysis 3 (1994), 221-233.
25. On a variational problem with lack of compactness: the topological effect of the critical points at infinity (with A. Bahri and O. Rey), Calculus of Variations and PDEs 3 (1995), 67-93. Also in the preprint series of Centre de Math\'ematiques, Ecole Polytechnique, No. 1017, 1991.
26. pdf Prescribing scalar curvature on $S^n$ and related problems, Part I, J. Diff. Equations 120 (1995), 319-410.
27. Uniqueness theorems through the method of moving spheres (with M. Zhu), Duke Math. J. 80 (1995), 383-417.
28. pdf A note on the Kazdan-Warner type condition (with Z.C. Han), Ann. Inst. Henri Poincare, Analyse nonlin\'eaire, 13 (1996), 283-292.
29. Degenerate elliptic systems and applications to Ginzburg-Landau type equations, Part I (with Z.C. Han), Calculus of Variations and PDEs 4 (1996), 171-202.
30. Prescribing scalar curvature on $S^n$ and related problems, Part II: Existence and compactness, Comm. Pure Appl. Math. 49 (1996), 541-597.
31. The Nirenberg problem in a domain with boundary, Topological Methods in Nonlinear Analysis 6 (1995), 309-329.
32. pdf Monge-Amp\`ere Equations on Riemannian Manifolds (with B. Guan), J. Differential Equations 132 (1996),126-139.
33. Multiple point blow up phenomenon in scalar curvature equations on spheres of dimension greater than three, in Birkhauser, {\it Topics in Geometry}, ed. S. Gindikin, 285-293, 1996.
34. pdf Group invariant convex hypersurfaces with prescribed Gauss-Kronecker curvature, Contemporary Mathematics, AMS, 205 (1997), 203-218.
35. $C^{1,1}$ estimates for solutions of a problem of Alexandrov (with P. Guan), Comm. Pure Appl. Math. 50 (1997), 797-819.
36. Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries (with M. Zhu), Comm. Pure Appl. Math. 50 (1997), 449-487.
37. On a singularly perturbed elliptic equation, Advances in Differential Equations, 2 (1997), 955-980.
38. pdf Sharp Sobolev inequalities involving boundary terms (with M. Zhu), Geometric And Functional Analysis, 8 (1998), 59-87.
39. On a singularly perturbed equation with Neumann boundary condition, Comm. Partial Differential Equations 23 (1998), 487-545.
40. The Dirichlet problem for singularly perturbed elliptic equations (with L. Nirenberg), Comm. Pure Appl. Math. 51 (1998), 1445-1490.
41. pdf Harnack Type Inequality: the Method of Moving Planes, Comm. Math. Phys. 200 (1999), 421-444.
42. pdf Yamabe type equations on three dimensional Riemannian manifolds (with M. Zhu), Communications in Contemporary Math. 1 (1999), 1-50.
43. On the best constant in the Sobolev inequality (with T. Aubin), C.R. Acad. Sci. Paris 328 (1999), 135-138.
44. pdf:On the best Sobolev inequality (with T. Aubin), J. Math. Pures Appl. 78 (1999), 353-387.
45. The Yamabe problem on manifolds with boundaries: Existence and compactness results (with Z.C. Han), Duke Math. J. 99 (1999), 489-542.
46. ps: A priori bounds for co-dimension one isometric embeddings (with G. Weinstein), American Journal of Mathematics 121 (1999), 945-965.
46. pdf: Degree and Sobolev spaces (with H. Brezis, P. Mironescu and L. Nirenberg), Topological Methods in Nonlinear Analysis, 13 (1999), 181-190.
47. Best Sobolev inequalities on Riemannian manifolds (Differential Equations and Mathematical Physics, Proceedings of an International Conference held at the University of Alabama in Birmingham, 1999, 273-278. Editors: R. Weikard and G. Weinstein )
48. The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature (with Z.C. Han), Comm. Anal. Geom. 8 (2000), 809-869.
49. pdf: Gradient estimates for solutions of divergence form elliptic equations with discontinuous coefficients (with M. Vogelius), Arch. Rat. Mech. Anal. 153 (2000), 91-151.
50. Gluing approximate solutions of minimum type on the Nehari manifold (with Z.Q. Wang), USA-Chile Workshop on Nonlinear Analysis, Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 215-223.
51. A note on the scalar curvature problem in the presence of symmetries (with A. Ambrosetti and A. Malchiodi), dedicated to the memory of Ennio De Giorgi, Ricerche di Matematica, Vol. LXIX, 2000, Supplemento, 169-176.
52. ps: A variational result in a domain with boundary (with L. Nirenberg), dedicated to Cathleen Morawetz on the occasion of her 77th birthday, Methods and Applications of Analysis 7 (2000), 489-494.
53. ps : Fine analysis of blow up and applications, First International Congress of Chinese Mathematicians (Beijing, 1998), 411--421, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.
54. pdf : Topology and Sobolev spaces (with H. Brezis), J. Functional Analysis 183 (2001), 321-369.
55. pdf : On the Yamabe problem and the scalar curvature problems under boundary conditions (with A. Ambrosetti and A. Malchiodi), Math. Ann. 322 (2002), 667-699.
56. On some conformally invariant fully nonlinear equations (with Aobing Li), C. R. Acad. Sci. Paris, Ser. I 334 (2002), 1-6.
57. ps Starshaped compact hypersurfaces with prescribed m-th mean curvature in elliptic space (with V. Oliker), Journal of Partial Differential Equations 15 (2002), 68-80.
58. pdf : Some nonlinear elliptic equations from geometry, Proc. Natl. Acad. Sci. USA, Vol. 99, Issue 24, 15287-15290, November 26, 2002.
59. A sharp Sobolev inequality on Riemannian manifolds (with T. Ricciardi), C. R. Acad. Sci. Paris, Ser. I 335 (2002), 519-524.
60. pdf : A sharp Sobolev inequality on Riemannian manifolds (with T. Ricciardi), Communications on Pure and Applied Analysis 2 (2003), 1-31.
61. pdf : An extension to a theorem of J\"orgens, Calabi, and Pogorelov (with L. Caffarelli), Comm. Pure Appl. Math. 56 (2003), 549-583.
62. pdf Estimates for elliptic systems from composite material (with L. Nirenberg), Comm. Pure Appl. Math. 56 (2003), 892-925.
63. dvi On some conformally invariant fully nonlinear equations, Proceedings of the International Congress of Mathematicians, Beijing 2002, vol. 3, 177--184.
64. pdf : Liouville type theorems and Harnack type inequalities for semilinear elliptic equations (with Lei Zhang), Journal d'Analyse Mathematique 90 (2003), 27-87.
65. pdf On some conformally invariant fully nonlinear equations (with Aobing Li), Comm. Pure Appl. Math. 56 (2003), 1414-1464.
66. pdf A fully nonlinear version of the Yamabe problem and a Harnack type inequality (with Aobing Li), C. R. Acad. Sci. Paris 336 (2003), 319-324.
67. pdf Some recent work on elliptic systems from composite material, Lectures on Partial Differential Equations, Proceedings in honor of Louis Nirenberg's 75th birthday, New Studies in Advanced Mathematics, Volume 2, Editors: Chang, Lin and Yau, International Press, 2003, 153-158.
68. pdf A Liouville theorem for solutions of the Monge-Amp\`ere equation with periodic data (with L. Caffarelli), Ann. Inst. Henri Poincare, Analyse Nonlineaire 21 (2004), 97-120.
69. dvi Liouville type theorems for some conformally invariant fully nonlinear equations, Rend. Mat. Acc. Lincei, s. 9, v. 14:219-225 (2003) ---- Proceedings of International Conference on Caccioppoli Mathematical Heritage, Academia dei Lincei.
70. pdf A Harnack type inequality for the Yamabe equation in low dimensions (with Lei Zhang), Calculus of Variations and Partial Differential Equations 20 (2004), 133-151.
71. pdf Compactness of solutions to the Yamabe problem (with Lei Zhang), C. R. Acad. Sci. Paris, Ser. I 338 (2004), 693-695.
72. pdf Remark on some conformally invariant integral equations: the method of moving spheres, Journal of the European Mathematical Society 6 (2004), 153-180.
73. pdf The distance function to the boundary, Finsler geometry and the singular set of viscosity solutions of some Hamilton-Jacobi equations (with L. Nirenberg), Comm. Pure Appl. Math. 58 (2005), 85-146.
74. ps A Liouville type theorem for some conformally invariant fully nonlinear equations (with Aobing Li), in Geometric analysis of PDE and several complex variables, 321-328, Contemp. Math. 368, Amer. Math. Soc., Providence, RI, 2005.
75. pdf Generalization of a well known inequality (with L. Nirenberg), in Progress in Nonlinear Differential Equations and Their Applications, Vol. 66, 365-370, 2005, Birkhauser Verlag Basel/Switzerland.
76. pdf Compactness of solutions to the Yamabe problem. II (with Lei Zhang), Calculus of Variations and PDEs 24 (2005), 185-237.
77. pdf On some conformally invariant fully nonlinear equations, Part II: Liouville, Harnack and Yamabe (with Aobing Li), Acta Math. 195 (2005), 117-154
78. pdf Regularity of the distance function to the boundary (with Louis Nirenberg), Rendiconti, Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni, 123 (2005), Vol. XXIX, fasc. 1, pagg. 257-264.
79. pdf Starshaped compact hypersurfaces with prescribed k-th Mean Curvature in Hyperbolic Space (with Qinian Jin), Discrete and Continuous Dynamical Systems 15 (2006), 367-377
80. pdf A fully nonlinear version of the Yamabe problem on manifolds with boundary (with Aobing Li), J. Eur. Math. Soc. 8 (2006), 295-316.
81. pdf Conformally invariant fully nonlinear elliptic equations and isolated singularities, Journal of Functional Analysis 233 (2006), 380-425.
82. pdf A geometric problem and the Hopf Lemma. I (with Louis Nirenberg), J. Eur. Math. Soc. 8 (2006), 317-339.
83. pdf A geometric problem and the Hopf Lemma. II (with Louis Nirenberg), Chin. Ann. Math. 27B(2), 2006, 193-218.
84. pdf Local gradient estimates of solutions to some conformally invariant fully nonlinear equations, C. R. Acad. Sci. Paris, Ser. I 343 (2006), 249-252.
85. pdf Some multi-valued solutions to Monge-Ampere equations (with L. Caffarelli), Communications in Analysis and Geometry 14 (2006), 411-441.
86. pdf Some nonlinear elliptic equations have only constant solutions (with H. Brezis), J. Partial Differentiaql Equations 19 (2006), 208-217.
87. pdf Nonexistence of positive solutions for some fully nonlinear elliptic equations (with Qinian Jin and Haoyuan Xu), Methods and Applications of Analysis 12 (2005), 441-450.
88. pdf Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary (with Qinian Jin and Aobing Li), Calculus of Variations and PDE's 28 (2007), 509-543.
89. pdf Compactness of solutions to the Yamabe problem. III (with Lei Zhang), Journal of Functional Analysis 245 (2007), 478-474.
90. pdf Degenerate conformally invariant fully nonlinear elliptic equations, Arch. Rational. Mech. and Anal. 186 (2007), 25-51.
91. pdf An extension to a classical theorem of Liouville and applications, in Recent Advances in Nonlinear Partial Differential Equations and Applications, Conference in Honor of the 80th Birthdays of Peter Lax and Louis Nirenberg, June 7-10, 2006, Proceedings of Symposia in Applied Mathematics, American Mathematical Society, page 81-86..
92. pdf Some Liouville theorems and applications, in {\it Perspectives in Nonlinear Partial Differential Equations}, in honor of Haim Brezis, Edited by H. Berestycki, M. Bertsch, F. Browder, L. Nirenberg, L. Peletier and L. Veron, Contemparary Mathematics 446, page 313-317, American Mathematical Society, 2007.
93. pdf Symmetry and Asymmetry: The method of moving spheres (with Qinian Jin and Haoyuan Xu), Advances in Differential Equations 13 (2008), 601-640.
94. pdf Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum (with P.T. Chrusciel and G. Weinstein), Annals of Physics 323 (2008), 2591-2613.
95. pdf Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator (with Daomin Cao), Methods and Application of Analysis 15 (2008), 81-95.
96. pdf Local gradient estimates of solutions to some conformally invariant fully nonlinear equations, Comm. Pure Appl. Math. 62 (2009), 1293-1326.
97. pdf Gradient estimates for the perfect conductivity problem (with Ellen Shiting Bao and Biao Yin), Arch. Rat. Mech. Anal. 193 (2009), 195-226.
98. pdf A Harnack type inequality for some conformally invariant equations on half Euclidean space (with Aobing Li), Acta Mathematica Scientia 29 (2009), 1105-1112.
99. pdf Partial results on extending the Hopf Lemma (with Louis Nirenberg), Rendiconti Di Matematica 29 (2009), 97-115.