Papers

  1. Thesis, On a holomorphic differential equation, UC Berkeley, 1973.

  2. P.C. Yang, On compact Kahler manifolds of negative holomorphic bisectional curvature, Duke Math. Jour., 43 (1976), pp 871-875.

  3. P.C. Yang, Curvature of complex submanifolds of Cn , Proc. Symp. Pure Math. Vol. 30 (1976) II, 135-137.

  4. P.C. Yang, Curvature of complex submanifolds of Cn , JDG 12 (1977), 500-511.

  5. P.C. Yang, Kahler metrics on fibered manifolds, Proc. Amer. Math. Soc. 63 (1977), 131-133.

  6. P.C. Yang, Holomorphic curves and boundary regularity of biholomorphic maps, University of Maryland Tech. Report No.93, 1978.

  7. P.C. Yang and S.T. Yau, Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds, Annali Scuola Norm. Sup. Pisa 7 (1980) 55-65.

  8. L. Nirenberg, S. Webster, and P.C. Yang, Local boundary regularity of holomorphic mappings,, CPAM 33 (1980) 305-338.

  9. J. Quine and P.C. Yang, Non-compact version of the second Plucker equation, Duke Math. Jour. 47 (1980) 127-134.

  10. P.C. Yang and S.T. Yau, Riemann-Roch Formula for three dimensional pseudoconvex manifolds, Several copmlex variables, Proceedings of 1981 Hangzhou conference, 257-267.

  11. Y.T. Siu and P.C. Yang, Compact Kahler-Einstein surfaces of negative bisectional curvature, Inventiones, 64 (1981) 471-487.

  12. C. Berenstein and P.C. Yang, An over-determined Neumann problem in the unit disk, Advances in Math, 44 (1982) 1-17.

  13. P.C. Yang, Automorphism of tube domains, Amer. Jour. of Math., 104 (1982) 1005-1024.

  14. P.C. Yang, Geometry of tube domains, Proc. AMS Symp. SCV 41 (1982) 277-283.

  15. J. Dadok and P.C. Yang, Automorphisms of tube domains and spherical tubular hypersurfaces, Amer. Jour. Math., 107 (1985) 999-1013.

  16. C. Berenstein and P.C. Yang, An inverse Neumann problem, Journal fur die reine und angewandte Mathematik, 382 (1987) 1-21.

  17. S.Y.A. Chang and P.C. Yang, Prescribing Gaussian curvature on S2 , Acta Math. 159 (1987), pp 215-259.

  18. S.Y.A. Chang and P.C. Yang, Conformal deformation of metrics on S2, J. Diff. Geometry 27, (1988) pp. 259-296.

  19. S.Y.A. Chang and P. C. Yang, Compactness of isospectral conformal metrics on S3, Comm. Math Helv., 64, (1989) pp. 363-374.

  20. R. Brooks, P. Perry, and P.C. Yang, On isospectral set of conformally equivalent metrics, Duke Math. Jour., 58 (1989) 131-150.

  21. S.Y.A. Chang and P.C. Yang, The conformal deformation equation and isospectral set of conformal metrics, Contemporary Mathematics, Vol. 101, Vol. 101, 1989, pp 165-178.

  22. S.Y.A. Chang and P.C. Yang, Isospectral Conformal Metrics on 3-manifolds J. of AMS 3, (1990) pp. 117-145.

  23. Sun-Yung A. Chang and Paul C. Yang, Spectral invariants of conformal metrics, Proceedings of Satellite Conferences of the International Congress of Math., Kyoto, (1990), pp 51-60.

  24. Sun-Yung A. Chang and Paul C. Yang, A perturbation result in prescribing scalar curvature on Sn, Duke J. of Math. 64 (1991) 27-69.

  25. S.Y. Chang and P.C. Yang, Spectral Invariants of conformal metrics, Harmonic Analysis Conference Proceedings, 51-60.

  26. Thomas Branson, Sun-Yung A. Chang and Paul C. Yang, Estimates and extremal problems for the log-determinant on 4-manifolds,. Comm. Math. Physics, Vol. 149, No.2, 1992, pp 241-262.

  27. Sun-Yung A.Chang, Matt Gursky and Paul C.Yang, Prescribing scalar curvature on S2 and S3, Calculus of Variation, 1, 1993, pp 205-229  [ps].

  28. Sun-Yung A. Chang and Paul C.Yang, Addendum to A Perturbation result in prescribing scalar curvature on Sn, Duke Math J. 71, 1993, pp 333-335.

  29. X. Xu and P.C. Yang, Remarks on prescribing Gauss curvature on S 2, Trans. AMS, 336 (1993) 831-840.

  30. X.W. Xu and P.C. Yang, A construction of m-harmonic maps of S m, Inter.Jour. math. 4 (1993) 521-533.

  31. Sun-Yung A. Chang, Matt Gursky and Thomas Wolff, Lack of compactness in conformal metrics with $L^(d/2)$ curvature, Journal of Geometric Analysis, Vol 4, No.2, 1994, pp 143-154.

  32. S.Y. Chang and P.C. Yang, Determinants and extremal metrics in conformal geometry, Geometry from the Pacific Rim 37-57.

  33. Sun-Yung A. Chang and Paul C.Yang, Extremal metrics of zeta function determinants on 4-manifolds, Annals of Math. 142 (1995), pp 171-212.

  34. Sun-Yung A. Chang, Matt Gursky and Paul C.Yang, Remarks on a fourth order invariant in conformal geometry, Aspects of Mathematics, edited by N. Mok, Hong Kong University, Proceedings of a conference in Algebra, Geometry and Several Complex Variable, (June, 1996) pp. 353-372.

  35. L. Mou and P.C. Yang, Multiple solutions and Regularity of H-systems, Indiana U. Math Jour. 45 (1996) 1193-1221.

  36. L. Mou and P.C. Yang, Regularity of m-harmonic maps, J. Geom. Anal. 6 (1996) 91.112.

  37. Sun-Yung A. Chang and Paul C.Yang, Extremal metrics of zeta functional determinants, Survey article, Geometry from the Pacific Rim, Eds.: Berrick /Loo/Wang, Walter de Gruyter Co., Berlin, New York 1997, pp 37-57.

  38. Sun-Yung A. Chang and Paul C. Yang, On uniqueness of solution of a n-th order differential equation in conformal geometry, Math. Research Letters,  4 (1997)  pp. 91-102.[pdf]

  39. Sun-Yung A. Chang, Xing-Wang Xu and Paul C.Yang, Perturbation Results for Prescribing Mean Curvature , Math. Annalen 310 (1998) pp 473-496.

  40. Sun-Yung A. Chang, Matt Gursky and Paul C.Yang, Regularity of a fourth order PDE with critical exponent, American Journal of Math, 121 (1999), pp 215-257 [ps].

  41. Sun-Yung A. Chang, Lihe Wang and Paul C. Yang, Regularity of harmonic maps, CPAM, LII (1999), pp. 1099-1111 [ps].

  42. Sun-Yung A. Chang, Lihe Wang and Paul C. Yang, Regularity of bi-harmonic maps to spheres, CPAM, LII (1999), pp. 1113-1137 [ps].

  43. Sun-Yung A. Chang and Paul C. Yang, On a fourth order curvature invariant , Comp. Math. 237, Spectral Problems in Geometry and Arithmetic, Ed: T. Branson , AMS, (1999) pp 9-28 [ps].

  44. Sun-Yung A. Chang, Jie Qing and Paul C. Yang, On the Chern-Gauss-Bonnet integral for conformal metrics on R4, Duke Math Journal, vol 103, No. 3 (2000), pp 65-93 [ps].

  45. Sun-Yung A. Chang, Jie Qing and Paul C. Yang, Compactification for a class of conformally flat 4-manifold , Inventiones Mathematicae, 142 (2000), pp 65-93 [ps].

  46. Sun-Yung A. Chang and Paul C. Yang, Fourth order equations in conformal geometry, Seminaires et Congres 4 (2000), Global Analysis and Harmonic Analysis, J.P. Bourguignon, T. Branson, O. Hijazi (Eds); pp 155-165 [ps].

  47. Sun-Yung A. Chang, Matt Gursky and Paul Yang, An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature, Annals of Math., Vol. 155, No. 3, May (2002) pp. 711-789. [ps].

  48. Sun-Yung A. Chang and Paul Yang, Partial Differential Equations related to the Gauss-Bonnet-Chern integral on 4-manifolds, Conformal, Riemannian and Lagrangian Geometry, AMS, University lecture series Vol 27. The 2000 Barrett Lectures, pp 1-29. [ps]

  49. X. Xu and P.C. Yang, Positivity of Paneitz operators, Disc. Cont. Dynamical Systems, 7 (2001) 329-342.

  50. Sun-Yung A. Chang , Jie Qing and Paul Yang, On finiteness of Kleinian groups in general dimension, preprint 2002, to appear in
    J. fur die Reine und Andgewandte Math.[pdf]

  51. Sun-Yung A. Chang, Matt Gursky and Paul Yang,  A prior estimate for a class of nonlinear equations on 4-manifolds, Journal D'Analyse Journal Mathematique, special issue in memory of Thomas Wolff, Vol 87 (2002) , pp. 151-186.[ps]

  52. Sun-Yung A. Chang and Paul Yang, Non-linear Partial Differential equations in Conformal Geometry, Proceedings for ICM 2002, Beijing, volume I, pp 189-209.[pdf]

  53. X. Xu and P.C. Yang, Conformal energy in four dimension, Math. Annelen, 324 (2002) 731-742.

  54. X. Xu and P.C. Yang, On a fourth order equation in 3-D, ESAIM: Cont. Optim. Calc. Var. 8 (2002) 1029-1042.

  55. Sun-Yung A. Chang, Matt Gursky and Paul Yang, Entire solutions of a fully non-linear equation, Lecture on Partial Differential Equations in honor of Louis Nirenberg's 75th birthday,   Editors S.-Y. A. Chang, C.-S. Lin and H.-T. Yau, Chapter 3, International Press, 2003, pp 43-60.[pdf]

  56. Sun-Yung A. Chang and Paul Yang,  The inequality of Moser and Trudinger and applications to conformal geometry,  Comm. Pure and Applied Math., Vol LVI, no. 8, August 2003, pp 1135-1150;  Special issue dedicated to the memory of Jurgen K. Moser. [pdf]

  57. Sun-Yung A. Chang , Matt Gursky and Paul Yang , A conformally invariant sphere theorem in four dimensions,  Publications de l'IHES, no, 98, 2003,  pp. 105-143.[pdf]

  58. Sun-Yung A. Chang, Jie Qing and Paul Yang, On the topology of conformally compact Einstein 4-manifolds, Noncompact Problems at the intersection of Geometry, Analysis and Topology; Contempoary Math. volume 350, 2004, pp 49-61.  [pdf]

  59. Sun-Yung A. Chang , Fengbo Hang and Paul Yang , On a class of locally conformally flat manifolds,  IMRN 2004, no. 4, pp 185-209. [pdf]

  60. P.C. Yang and M. Zhu, On the Paneitz energy on the standard three sphere, ESAIM: Control, Optim. and Calc. of Variations, 10 (2004) 211-223.

  61. F. Hang and P.C. Yang, The Sobolev inequality for Paneitz operator on three manifolds, Calc. of Variations 21 (2004) 57-83.

  62. J-H Cheng, J-F Hang, Malchiodi, and P.C. Yang, Minimal surfaces in pseudohermitian geometry, Annali della Scuola Normale Superiore di Pisa, Serie V, Vol IV (2005) 129-177.

  63. Sun-Yung A. Chang ,  Z.C. Han and P. Yang, Classification of singular radial solutions  to the $\sigma_k$ Yamabe equation on annular domains, JDE, 216, 2005, pp 482-501.[pdf]

  64. Sun-Yung A. Chang , Jie Qing and Paul Yang, On the renormalized volumes for conformally compact Einstein manifolds, to appear in Proceeding conference in Geometric Analysis, Moscow 2005.[pdf]

  65. Sun-Yung A. Chang , Matt Gursky and Paul Yang, Conformal invariants w.r.t. a measure, PNAS, vol. 103 no.8, 2006, pp 2535-2540.[pdf]

  66. Sun-Yung A. Chang, Jie Qing, and Paul Yang, Renormalized volumes for conformally compact Einstein manifolds. (Russian) Sovrem. Mat. Fundam. Napravl. 17 (2006), 129--142; translation in J. Math. Sci. (N. Y.) 149 (2008), no. 6, 1755-1769.[pdf]

  67. Sun-Yung A. Chang , Jie Qing and Paul Yang, n a conformal gap and finiteness theorem for a class of four manifolds, Geom. Funct. Anal. 17 (2007), no. 2, 404-434. [pdf]

  68. Sun-Yung A. Chang , Jie Qing and Paul Yang, Some progress in conformal geometry, SIGMA Symmetry Integrability Geom. Methods Appl. 3 (2007) (special volume in memory of Tom Branson), Paper 122, 17 pp.[pdf]

  69. Cheng, Hwang, and Yang, Existence and uniqueness for p-area minimizers in the Heisenberg group, Math. Annalen (2007) 337, 253-293.

  70. Sun-Yung A. Chang, Michael Eastwood, Bent Orsted, and Paul Yang, What is Q-curvature? Acta Appl. Math. 102 (2008), no.2-3 119-125. [pdf]

  71. Sun-Yung A. Chang, Michael Eastwood, Rod Gover, and Paul Yang Thomas P. Branson (1953-2006). Acta Appl. Math. 102 (2008), no. 2-3, 127-129. [pdf]

  72. Sun-Yung A. Chang and Paul Yang, The Q-curvature equation in conformal geometry. Asterisque No. 322 (2008), 23-38. [pdf]

  73. P.C. Yang, Minimal surfaces in CR Geometry, lectures at Centraro, CIME Lecture Notes in Geometric Analysis and PDEs, Lecture Notes in Math. No. 1977 (2009) 253-273.

  74. Cheng, Hwang, and Yang, Regularity of C1 smooth surfaces with prescribed p-mean curvature in the Heisenberg group, Math. Annalen. 344 (2009) 1-35.

  75. S. Chanillo and P.C. Yang, Isoperimetric inequalities and volume comparison theorems on CR manifolds, Annali Scuola Normal di Pisa, (2009) 279-307.

  76. C. Ndiaye and P.C. Yang, Compactificatino for a class of 3-manifolds, preprint.

  77. Sun-Yung A. Chang, Xi-Nan Ma, and Paul Yang, Principal curvature estimates for the convex level sets of semilinear elliptic equations. Dedicated to Louis Nirenberg on the occasion of his 85th birthday. Discrete Contin. Dyn. Syst. 28 (2010), no. 3, 1151-1164. [pdf]

  78. J. Cheng, J. Hwang, A. Malchiodi and P.C. Yang, A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisnberg group, Jour. Reine Agnew. Math. (2011) 1-68.

  79. Sun-Yung A. Chang, Zheng-Chao Han, and Paul Yang, On the prescribing sigma-2 curvature equation on S4. Calc. Var. Partial Differential Equations 40 (2011), no. 3-4, 539-565.[pdf]

  80. Sun-Yung A. Chang, Matthew Gursky, and Paul Yang, Conformal invariants associated to a measure: conformally covariant operators. Pacific J. Math. 253 (2011), no.1, 37-56. [pdf]

  81. P.C. Yang, Pseudo hermitian geometry in 3-D, Milan J. Math. 79 (2011) 181-191.

  82. J-H Cheng, H-L Chiu, and P.C. Yang, Uniformization of spherical CR manifolds, Adv. Mat. 255 (2014) 182.216.

  83. J-H Cheng, A. Malchiodi, and P.C. Yang, A positive mass theorem in three dimensional Cauchy-Riemann geometry, preprint. arXiv: 1312.7764v1

  84. A. Chang, Y. Ge and P. Yang, Compactness of conformally compact Einstein manifolds of dimension 3+1, preprint.

  85. S. Chanillo, H-L Chiu and P.C. Yang, Enbeddability for three-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants, Duke J. Math. 161 (2012) 2909-2921.

  86. J. Case and P. Yang, A Paneitz-type operator for CR pluriharmonic functions, Bulletin Inst. Math. Academica Sinica 8 (2013) 285-322. arXiv: 1309.2528.

  87. A. Chang, J. Liu and P. Yang, Optimal transportation on the hemisphere, Bulletin Inst. Math. Academica Sinica 9 (2014) 25-44.

  88. F. Hang and P. Yang, Q curvature on a class of 3-manifolds, to appear in CPAM. [PDF]

  89. F. Hang and P. Yang, Signs of Green's function of Paneitz operators and the Q-curvature, Preprint (2014). [PDF]

  90. F. Hang and P. Yang, Q curvature on a class of manifolds with dimension at least five, (Preprint, 2014). [PDF]

  91. J. Cheng, H. Chiu, J. Hwang and P. Yang, Umbilicity and characterization of Pansu spheres in the Heisenberg group, (Preprint, 2014) arXiv: 1406.2444.


                                                                                   
                                                                        

                                                                       


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