• 2574 Citations
  • 26 h-Index
1976 …2020

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Output

  • 2574 Citations
  • 26 h-Index
  • 59 Article
  • 2 Chapter
  • 1 Conference contribution
2020

A conformally invariant gap theorem characterizing CP2 via the Ricci flow

Chang, S. Y. A., Gursky, M. & Zhang, S., Feb 1 2020, In : Mathematische Zeitschrift. 294, 1-2, p. 721-746 26 p.

Research output: Contribution to journalArticle

Compactness of conformally compact Einstein 4-manifolds II

Chang, S. Y. A., Ge, Y. & Qing, J., Oct 28 2020, In : Advances in Mathematics. 373, 107325.

Research output: Contribution to journalArticle

Some Remarks on the Geometry of a Class of Locally Conformally Flat Metrics

Chang, S. Y. A., Han, Z. C. & Yang, P., 2020, Progress in Mathematics. Birkhauser, p. 37-56 20 p. (Progress in Mathematics; vol. 333).

Research output: Chapter in Book/Report/Conference proceedingChapter

2018

Compactness of conformally compact Einstein manifolds in dimension 4

Chang, S. Y. A. & Ge, Y., Dec 15 2018, In : Advances in Mathematics. 340, p. 588-652 65 p.

Research output: Contribution to journalArticle

1 Scopus citations

Conformal geometry on four manifolds - Noether lecture

Chang, S. Y. A., Jan 1 2018, Invited Lectures. Sirakov, B., de Souza, P. N. & Viana, M. (eds.). World Scientific Publishing Co. Pte Ltd, p. 119-146 28 p. (Proceedings of the International Congress of Mathematicians, ICM 2018; vol. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Limit of fractional power Sobolev inequalities

Chang, S. Y. A. & Wang, F., Feb 15 2018, In : Journal of Functional Analysis. 274, 4, p. 1177-1201 25 p.

Research output: Contribution to journalArticle

1 Scopus citations
2017

On a class of non-local operators in conformal geometry

Chang, S. Y. A. & Yang, R. A., Jan 1 2017, In : Chinese Annals of Mathematics. Series B. 38, 1, p. 215-234 20 p.

Research output: Contribution to journalArticle

5 Scopus citations

Sobolev trace inequalities of order four

Ache, A. G. & Chang, S. Y. A., Oct 1 2017, In : Duke Mathematical Journal. 166, 14, p. 2719-2748 30 p.

Research output: Contribution to journalArticle

2 Scopus citations
2016

Nirenberg’s problem

Chang, S. Y. A., Feb 2016, In : Notices of the American Mathematical Society. 63, 2, p. 128-130 3 p.

Research output: Contribution to journalArticle

On Fractional GJMS Operators

Case, J. S. & Alice Chang, S. Y., Jun 1 2016, In : Communications on Pure and Applied Mathematics. 69, 6, p. 1017-1061 45 p.

Research output: Contribution to journalArticle

31 Scopus citations
2014

A note on renormalized volume functionals

Chang, S. Y. A., Fang, H. & Graham, C. R., Mar 1 2014, In : Differential Geometry and its Application. 33, p. 246-258 13 p.

Research output: Contribution to journalArticle

7 Scopus citations

Some higher order isoperimetric inequalities via the method of optimal transport

Chang, S. Y. A. & Wang, Y., Jan 1 2014, In : International Mathematics Research Notices. 2014, 24, p. 6619-6644 26 p.

Research output: Contribution to journalArticle

2 Scopus citations
2013

Inequalities for quermassintegrals on k-convex domains

Chang, S. Y. A. & Wang, Y., Nov 25 2013, In : Advances in Mathematics. 248, p. 335-377 43 p.

Research output: Contribution to journalArticle

9 Scopus citations
2011

Conformal invariants associated to a measure: Conformally covariant operators

Chang, S. Y. A., Gursky, M. J. & Yang, P., 2011, In : Pacific Journal of Mathematics. 253, 1, p. 37-56 20 p.

Research output: Contribution to journalArticle

5 Scopus citations

Fractional Laplacian in conformal geometry

Chang, S. Y. A. & González, M. D. M., Jan 30 2011, In : Advances in Mathematics. 226, 2, p. 1410-1432 23 p.

Research output: Contribution to journalArticle

158 Scopus citations

On Aleksandrov-Fenchel Inequalities for k-Convex Domains

Chang, S. Y. A. & Wang, Y., Jun 1 2011, In : Milan Journal of Mathematics. 79, 1, p. 13-38 26 p.

Research output: Contribution to journalArticle

18 Scopus citations

On the prescribing σ2 curvature equation on S4

Chang, S. Y. A., Han, Z. C. & Yang, P., Jan 24 2011, In : Calculus of Variations and Partial Differential Equations. 40, 3, p. 539-565 27 p.

Research output: Contribution to journalArticle

2 Scopus citations
2010

A liouville problem for the sigma-2 equation

Chang, S. Y. A. & Yuan, Y., Oct 1 2010, In : Discrete and Continuous Dynamical Systems. 28, 2, p. 659-664 6 p.

Research output: Contribution to journalArticle

8 Scopus citations

Principal curvature estimates for the convex level sets of semilinear elliptic equations

Chang, S. Y. A., Ma, X. N. & Yang, P., Nov 1 2010, In : Discrete and Continuous Dynamical Systems. 28, 3, p. 1151-1164 14 p.

Research output: Contribution to journalArticle

14 Scopus citations
2008

A class of variational functionals in conformal geometry

Chang, S. Y. A. & Fang, H., 2008, In : International Mathematics Research Notices. 2008, 1, rnn008.

Research output: Contribution to journalArticle

18 Scopus citations

On the renormalized volumes for conformally compact Einstein manifolds

Yang, P., Chang, S. Y. A. & Qing, J., Mar 1 2008, In : Journal of Mathematical Sciences. 149, 6, p. 1755-1769 15 p.

Research output: Contribution to journalArticle

11 Scopus citations

The Q-curvature equation in conformal geometry

Chang, S. Y. A. & Yang, P. C., Dec 1 2008, Differential Geometry, Mathematical Physics, Mathematics and Society Part 2. 322 ed. p. 23-38 16 p. (Asterisque; no. 322).

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

What is Q-curvature?

Chang, S. Y. A., Eastwood, M., Ørsted, B. & Yang, P. C., Jul 1 2008, In : Acta Applicandae Mathematicae. 102, 2-3, p. 119-125 7 p.

Research output: Contribution to journalArticle

13 Scopus citations
2007

Integral identities and minkowski type inequalities involving schouten tensor

Chang, S-Y. A. & Hang, F., Dec 1 2007, In : International Mathematics Research Notices. 2007, rnm037.

Research output: Contribution to journalArticle

1 Scopus citations

On a conformal gap and finiteness theorem for a class of four-manifolds

Chang, S. Y. A., Qing, J. & Yang, P., Jun 1 2007, In : Geometric and Functional Analysis. 17, 2, p. 404-434 31 p.

Research output: Contribution to journalArticle

12 Scopus citations

Some progress in conformal geometry

Chang, S. Y. A., Qing, J. & Yang, P., Jan 1 2007, In : Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 3, 122.

Research output: Contribution to journalArticle

7 Scopus citations
2006

Conformal invariants associated to a measure

Chang, S. Y. A., Gursky, M. J. & Yang, P., Feb 21 2006, In : Proceedings of the National Academy of Sciences of the United States of America. 103, 8, p. 2535-2540 6 p.

Research output: Contribution to journalArticle

18 Scopus citations
2005

Classification of singular radial solutions to the σk Yamabe equation on annular domains

Chang, S. Y. A., Han, Z. C. & Yang, P., Sep 15 2005, In : Journal of Differential Equations. 216, 2, p. 482-501 20 p.

Research output: Contribution to journalArticle

22 Scopus citations

Conformal invariants and partial differential equations

Chang, S. Y. A., Jul 2005, In : Bulletin of the American Mathematical Society. 42, 3, p. 365-393 29 p.

Research output: Contribution to journalArticle

33 Scopus citations
2004

On a Class of Locally Conformally Flat Manifolds

Chang, S. Y. A., Hang, F. & Yang, P. C., 2004, In : International Mathematics Research Notices. 4, p. 185-209 25 p.

Research output: Contribution to journalArticle

24 Scopus citations

On finiteness of Kleinian groups in general dimension

Chang, S. Y. A., Qing, J. & Yang, P. C., Jan 1 2004, In : Journal fur die Reine und Angewandte Mathematik. 571, p. 1-17 17 p.

Research output: Contribution to journalArticle

8 Scopus citations
2003

The Inequality of Moser and Trudinger and Applications to Conformal Geometry

Chang, S-Y. A. & Yang, P. C-P., Aug 1 2003, In : Communications on Pure and Applied Mathematics. 56, 8, p. 1135-1150 16 p.

Research output: Contribution to journalArticle

50 Scopus citations
2002

An a priori estimate for a fully nonlinear equation on four-manifolds

Chang, S-Y. A., Gursky, M. J. & Yang, P. C-P., Jan 1 2002, In : Journal d'Analyse Mathematique. 87, p. 151-186 36 p.

Research output: Contribution to journalArticle

72 Scopus citations

An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature

Chang, S. Y. A., Gursky, M. J. & Yang, P. C., May 2002, In : Annals of Mathematics. 155, 3, p. 709-787 79 p.

Research output: Contribution to journalArticle

139 Scopus citations
2001

A note on a class of higher order conformally covariant equations

Chang, S. Y. A. & Chen, W., 2001, In : Discrete and Continuous Dynamical Systems. 7, 2, p. 275-281 7 p.

Research output: Contribution to journalArticle

41 Scopus citations
2000

Compactification of a class of conformally flat 4-manifold

Chang, S. Y. A., Qing, J. & Yang, P. C., Jan 1 2000, In : Inventiones Mathematicae. 142, 1, p. 65-93 29 p.

Research output: Contribution to journalArticle

42 Scopus citations

On the chern-gauss-bonnet integral for conformal metrics on R4

Chang, S. Y. A., Qing, J. & Yang, P. C., Jan 1 2000, In : Duke Mathematical Journal. 103, 3, p. 523-544 22 p.

Research output: Contribution to journalArticle

31 Scopus citations
1999

A regularity theory of biharmonic maps

Chang, S. Y. A., Wang, L. & Yang, P. C., Sep 1999, In : Communications on Pure and Applied Mathematics. 52, 9, p. 1113-1137 25 p.

Research output: Contribution to journalArticle

72 Scopus citations

Regularity of a fourth order nonlinear PDE with critical exponent

Chang, S. Y. A., Gursky, M. J. & Yang, P. C., Apr 1 1999, In : American Journal of Mathematics. 121, 2, p. 215-257 43 p.

Research output: Contribution to journalArticle

37 Scopus citations

Regularity of harmonic maps

Chang, S-Y. A., Wang, L. & Yang, P. C-P., Jan 1 1999, In : Communications on Pure and Applied Mathematics. 52, 9, p. 1099-1111 13 p.

Research output: Contribution to journalArticle

26 Scopus citations
1998

A perturbation result for prescribing mean curvature

Chang, S. Y. A., Xu, X. & Yang, P. C., Mar 1998, In : Mathematische Annalen. 310, 3, p. 473-496 24 p.

Research output: Contribution to journalArticle

30 Scopus citations
1997

On uniqueness of solutions of n-th order differential equations in conformal geometry

Chang, S. Y. A. & Yang, P. C., Jan 1 1997, In : Mathematical Research Letters. 4, 1, p. 91-102 12 p.

Research output: Contribution to journalArticle

98 Scopus citations

The zeta functional determinants on manifolds with boundary

Chang, S. Y. A. & Qing, J., Jul 1 1997, In : Journal of Functional Analysis. 147, 2, p. 363-399 37 p.

Research output: Contribution to journalArticle

27 Scopus citations

The zeta functional determinants on manifolds with boundary

Chang, S. Y. A. & Qing, J., Jul 1 1997, In : Journal of Functional Analysis. 147, 2, p. 327-362 36 p.

Research output: Contribution to journalArticle

38 Scopus citations
1996

Zeta functional determinants on manifolds with boundary

Chang, S. Y. A. & Qing, J., Jan 1 1996, In : Mathematical Research Letters. 3, 1, p. 1-17 17 p.

Research output: Contribution to journalArticle

6 Scopus citations
1994

Lack of compactness in conformal metrics with L d/2 curvature

Chang, S. Y. A., Gursky, M. & Wolff, T., Jun 1 1994, In : The Journal of Geometric Analysis. 4, 2, p. 143-153 11 p.

Research output: Contribution to journalArticle

2 Scopus citations
1993

The scalar curvature equation on 2- and 3-spheres

Chang, S. Y. A., Gursky, M. J. & Yang, P. C., May 1 1993, In : Calculus of Variations and Partial Differential Equations. 1, 2, p. 205-229 25 p.

Research output: Contribution to journalArticle

170 Scopus citations
1992

Estimates and extremals for zeta function determinants on four-manifolds

Branson, T. P., Chang, S. Y. A. & Yang, P. C., Oct 1 1992, In : Communications In Mathematical Physics. 149, 2, p. 241-262 22 p.

Research output: Contribution to journalArticle

107 Scopus citations
1991

A perturbation result in prescribing scalar curvature on Sn

Chang, S. Y. A. & Yang, P. C., Oct 1991, In : Duke Mathematical Journal. 64, 1, p. 27-69 43 p.

Research output: Contribution to journalArticle

133 Scopus citations
1990

Isospectral conformal metrics on 3-manifolds

Chang, S. Y. A. & Yang, P. C. P., Jan 1990, In : Journal of the American Mathematical Society. 3, 1, p. 117-145 29 p.

Research output: Contribution to journalArticle

36 Scopus citations