• 2183 Citations
  • 24 h-Index
1976 …2020

Research output per year

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Research Output

  • 2183 Citations
  • 24 h-Index
  • 71 Article
  • 4 Chapter
2020

Pseudo-Hermitian Geometry in 3D

Yang, P. C., 2020, Lecture Notes in Mathematics. Springer, p. 113-144 32 p. (Lecture Notes in Mathematics; vol. 2263).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access

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

2019

Extremal metrics for the Q0-curvature in three dimensions

Case, J. S., Hsiao, C. Y. & Yang, P., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 2, p. 585-626 42 p.

Research output: Contribution to journalArticle

2018

An integral formula for the q-prime curvature in 3-dimensional cr geometry

Case, J. S., Cheng, J. H. & Yang, P., Jan 1 2018, In : Proceedings of the American Mathematical Society. 147, 4, p. 1577-1586 10 p.

Research output: Contribution to journalArticle

1 Scopus citations

Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometry

Cheng, J. H., Yang, P. & Zhang, Y., Sep 7 2018, In : Advances in Mathematics. 335, p. 405-465 61 p.

Research output: Contribution to journalArticle

1 Scopus citations

Isoperimetric inequality on CR-manifolds with nonnegative Q0-curvature

Wang, Y. & Yang, P., Jan 1 2018, In : Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 18, 1, p. 343-362 20 p.

Research output: Contribution to journalArticle

2 Scopus citations

Strong maximum principle for mean curvature operators on subRiemannian manifolds

Cheng, J. H., Chiu, H. L., Hwang, J. F. & Yang, P., Dec 1 2018, In : Mathematische Annalen. 372, 3-4, p. 1393-1435 43 p.

Research output: Contribution to journalArticle

2017

A positive mass theorem in three dimensional Cauchy–Riemann geometry

Cheng, J. H., Malchiodi, A. & Yang, P., Feb 21 2017, In : Advances in Mathematics. 308, p. 276-347 72 p.

Research output: Contribution to journalArticle

10 Scopus citations

CR geometry in 3-D

Yang, P. C., Mar 1 2017, In : Chinese Annals of Mathematics. Series B. 38, 2, p. 695-710 16 p.

Research output: Contribution to journalArticle

Paneitz operator for metrics near S3

Hang, F. & Yang, P. C-P., Aug 1 2017, In : Calculus of Variations and Partial Differential Equations. 56, 4, 106.

Research output: Contribution to journalArticle

1 Scopus citations
2016

Extremal metrics for the Q'-curvature in three dimensions

Case, J. S., Hsiao, C. Y. & Yang, P., Apr 1 2016, In : Comptes Rendus Mathematique. 354, 4, p. 407-410 4 p.

Research output: Contribution to journalArticle

2 Scopus citations

Lectures on the fourth-order Q curvature equation

Hang, F. & Yang, P. C., Jan 1 2016, In : Lecture Notes Series, Institute for Mathematical Sciences. 31, p. 1-33 33 p.

Research output: Contribution to journalArticle

5 Scopus citations

Q Curvature on a Class of 3-Manifolds

Hang, F. & Yang, P. C., Apr 1 2016, In : Communications on Pure and Applied Mathematics. 69, 4, p. 734-744 11 p.

Research output: Contribution to journalArticle

10 Scopus citations

Q-Curvature on a Class of Manifolds with Dimension at Least 5

Hang, F. & Yang, P. C., Aug 1 2016, In : Communications on Pure and Applied Mathematics. 69, 8, p. 1452-1491 40 p.

Research output: Contribution to journalArticle

10 Scopus citations

The CR Paneitz operator and the stability of CR pluriharmonic functions

Case, J. S., Chanillo, S. & Yang, P., Jan 10 2016, In : Advances in Mathematics. 287, p. 109-122 14 p.

Research output: Contribution to journalArticle

4 Scopus citations

Umbilic hypersurfaces of constant sigma-k curvature in the Heisenberg group

Cheng, J. H., Chiu, H. L., Hwang, J. F. & Yang, P., Jun 1 2016, In : Calculus of Variations and Partial Differential Equations. 55, 3, 66.

Research output: Contribution to journalArticle

1 Scopus citations
2015

A Positive Mass Theorem in Three Dimensional Cauchy-Riemann Geometry

Cheng, J. H., Malchiodi, A. & Yang, P., Jan 1 2015, In : Trends in Mathematics. 3, p. 3-8 6 p.

Research output: Contribution to journalArticle

A remark on the kernel of the CR Paneitz operator

Case, J. S., Chanillo, S. & Yang, P., Oct 26 2015, In : Nonlinear Analysis, Theory, Methods and Applications. 126, p. 153-158 6 p., 10499.

Research output: Contribution to journalArticle

1 Scopus citations

Sign of Green's Function of Paneitz Operators and the Q Curvature

Hang, F. & Yang, P. C., Jan 1 2015, In : International Mathematics Research Notices. 2015, 19, p. 9775-9791 17 p.

Research output: Contribution to journalArticle

16 Scopus citations

Umbilicity and characterization of Pansu spheres in the Heisenberg group

Cheng, J. H., Chiu, H. L., Hwang, J. F. & Yang, P., Jan 1 2015, In : Journal fur die Reine und Angewandte Mathematik. 2015

Research output: Contribution to journalArticle

2 Scopus citations
2014

Uniformization of spherical CR manifolds

Cheng, J. H., Chiu, H. L. & Yang, P., Apr 1 2014, In : Advances in Mathematics. 255, p. 182-216 35 p.

Research output: Contribution to journalArticle

16 Scopus citations
2012

A Codazzi-like equation and the singular set for C 1 smooth surfaces in the Heisenberg group

Cheng, J. H., Hwang, J. F., Malchiodi, A. & Yang, P., Oct 1 2012, In : Journal fur die Reine und Angewandte Mathematik. 671, p. 131-198 68 p.

Research output: Contribution to journalArticle

16 Scopus citations

Embeddability for 3-dimensional Cauchy-Riemann manifolds and cryamabe invariants

Chanillo, S., Chiu, H. L. & Yang, P., Dec 1 2012, In : Duke Mathematical Journal. 161, 15, p. 2909-2921 13 p.

Research output: Contribution to journalArticle

23 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

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

Pseudo-Hermitian Geometry in 3-D

Yang, P. C-P., Jun 1 2011, In : Milan Journal of Mathematics. 79, 1, p. 181-191 11 p.

Research output: Contribution to journalArticle

1 Scopus citations
2010

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
2009

Isoperimetric inequalities & volume comparison theorems on cr manifolds

Chanillo, S. & Yang, P. C-P., Oct 22 2009, In : Annali della Scuola Normale - Classe di Scienze. 8, 2, p. 279-307 29 p.

Research output: Contribution to journalArticle

14 Scopus citations

Minimal surfaces in CR geometry

Yang, P., Jan 1 2009, Geometric Analysis and PDEs. Springer Verlag, p. 253-273 21 p. (Lecture Notes in Mathematics; vol. 1977).

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Regularity of C 1 smooth surfaces with prescribed p-mean curvature in the Heisenberg group

Cheng, J. H., Hwang, J. F. & Yang, P. C-P., Feb 1 2009, In : Mathematische Annalen. 344, 1, p. 1-35 35 p.

Research output: Contribution to journalArticle

28 Scopus citations
2008

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

Existence and uniqueness for P-area minimizers in the Heisenberg group

Cheng, J. H., Hwang, J. F. & Yang, P., Feb 1 2007, In : Mathematische Annalen. 337, 2, p. 253-293 41 p.

Research output: Contribution to journalArticle

43 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

Minimal surfaces in pseudohermitian geometry

Cheng, J. H., Hwang, J. F., Malchiodi, A. & Yang, P., Dec 1 2005, In : Annali della Scuola Normale - Classe di Scienze. 4, 1, p. 129-177 49 p.

Research output: Contribution to journalArticle

80 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

On the Paneitz energy on standard three sphere

Yang, P. & Zhu, M., Apr 2004, In : ESAIM - Control, Optimisation and Calculus of Variations. 10, 2, p. 211-223 13 p.

Research output: Contribution to journalArticle

14 Scopus citations

The Sobolev inequality for Paneitz operator on three manifolds

Hang, F. & Yang, P. C., Jan 1 2004, In : Calculus of Variations and Partial Differential Equations. 21, 1, p. 57-83 27 p.

Research output: Contribution to journalArticle

14 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

Conformal energy in four dimension

Xu, X. & Yang, P. C., Dec 1 2002, In : Mathematische Annalen. 324, 4, p. 731-742 12 p.

Research output: Contribution to journalArticle

4 Scopus citations

On a fourth order equation in 3-D

Xu, X. & Yang, P. C., Jun 1 2002, In : ESAIM - Control, Optimisation and Calculus of Variations. 8, p. 1029-1042 14 p.

Research output: Contribution to journalArticle

11 Scopus citations
2001

Positivity of Paneitz Operators

Xu, X. & Yang, P. C., 2001, In : Discrete and Continuous Dynamical Systems. 7, 2, p. 329-342 14 p.

Research output: Contribution to journalArticle

Open Access
16 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