## Yang, Paul C. P.

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 Author ID: yang.paul-c-p Published as: Yang, Paul C.; Yang, Paul; Yang, P. C.; Yang, P.; Yang, Paul C. P.; Yang, Paul C.-P. more...less Further Spellings: Yang, Chien-Ping Homepage: https://web.math.princeton.edu/~yang/ External Links: MGP · Wikidata · Math-Net.Ru · GND
 Documents Indexed: 119 Publications since 1976, including 1 Book 2 Contributions as Editor · 1 Further Contribution Co-Authors: 59 Co-Authors with 93 Joint Publications 1,593 Co-Co-Authors
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### Co-Authors

 10 single-authored 46 Chang, Sun-Yung Alice 14 Wee, Hui-Ming 11 Cheng, Jih-Hsin 10 Gursky, Matthew J. 8 Hang, Fengbo 7 Case, Jeffrey S. 7 Hwang, Jenn-Fang 6 Chiu, Hung-Lin 6 Qing, Jie 6 Xu, Xingwang 5 Chanillo, Sagun 5 Malchiodi, Andrea 3 Han, Zheng-Chao 2 Berenstein, Carlos Alberto 2 Fang, Fangxin 2 Hsiao, Chin-Yu 2 Mou, Libin 2 Ørsted, Bent 2 Pain, Christopher C. 2 Wang, Lihe 2 Xiang, Jiansheng 2 Yu, Jonas C. P. 1 Arroja Neves, André 1 Bahoura, Samy Skander 1 Bahri, Abbas 1 Ben Abdesselem, Adnène 1 Branson, Thomas Patrick 1 Brooks, Robert Wolfe 1 Chung, Rih-Lung 1 Coulouvrat, François 1 Dadok, Jiri 1 Delanoë, Philippe P. 1 Eastwood, Michael G. 1 Eastwood, Mike 1 Fraser, Ailana M. 1 Gambino, Nicola 1 Gil-Medrano, Olga 1 González, María del Mar 1 Gover, Ashwin Rod 1 Grove, Karsten 1 Ho, Pao-Chung 1 Holcman, David 1 Hong, Doojin 1 Jørgensen, Palle E. T. 1 Kazdan, Jerry L. 1 Kock, Joachim 1 Lanconelli, Ermanno 1 Lee, Ming-Chang 1 Liu, Jiakun 1 Ma, Xi-Nan 1 Navon, Ionel Michael 1 Nirenberg, Louis 1 Ólafsson, Gestur 1 Pavlidis, Dimitrios 1 Perry, Peter A. 1 Peterson, Lawrence J. 1 Pinsky, Mark Allan 1 Prywes, Eden 1 Quine, John R. 1 Schoen, Richard Melvin 1 Siu, Yum-Tong 1 Svidersky, Oleg S. 1 Tarantello, Gabriella 1 Topping, Peter Miles 1 Ugalde, William J. 1 Wang, Xu-Jia 1 Webster, Sidney M. 1 Wee, Kian-Ping 1 Wee, P. K. P. 1 Wolfson, Jon Gordon 1 Wu, Simon 1 Xiao, Dianshi 1 Yau, Shing-Tung 1 Yau, Stephen Shing-Toung 1 Zhang, Yongbing 1 Zhu, Meijun
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### Serials

 7 Advances in Mathematics 7 Duke Mathematical Journal 6 Communications on Pure and Applied Mathematics 5 Mathematische Annalen 5 Calculus of Variations and Partial Differential Equations 4 Journal für die Reine und Angewandte Mathematik 4 IMRN. International Mathematics Research Notices 3 American Journal of Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Inventiones Mathematicae 2 Journal of Differential Geometry 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling 2 European Journal of Operational Research 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annals of Mathematics. Second Series 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Lecture Notes in Mathematics 1 Analysis Mathematica 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Systems Science 1 Journal d’Analyse Mathématique 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Commentarii Mathematici Helvetici 1 Gazette des Mathématiciens 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal of the Operational Research Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Journal of Information & Optimization Sciences 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mathematical Research Letters 1 International Transactions in Operational Research 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Modelling and Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 University Lecture Series 1 Trends in Mathematics. Research Perspectives CRM Barcelona 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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### Fields

 73 Differential geometry (53-XX) 44 Global analysis, analysis on manifolds (58-XX) 32 Partial differential equations (35-XX) 31 Several complex variables and analytic spaces (32-XX) 14 Operations research, mathematical programming (90-XX) 7 Functions of a complex variable (30-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

95 Publications have been cited 2,038 times in 1,165 Documents Cited by Year
Prescribing Gaussian curvature on S 2. Zbl 0636.53053
Chang, Sun-Yung Alice; Yang, Paul C.
1987
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
1993
Extremal metrics of zeta function determinants on 4-manifolds. Zbl 0842.58011
Chang, Sun-Yung A.; Yang, Paul C.
1995
Conformal deformations of metric on $${\mathcal S}$$ 2. Zbl 0649.53022
Chang, Sun-Yung A.; Yang, Paul C.
1988
An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature. Zbl 1031.53062
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
2002
A perturbation result in prescribing scalar curvature on $$S^ n$$. Zbl 0739.53027
Chang, Sun-Yung A.; Yang, Paul C.
1991
Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Zbl 0446.58017
Yang, Paul C.; Yau, Shing-Tung
1980
On uniqueness of solutions of $$n$$-th order differential equations in conformal geometry. Zbl 0903.53027
Chang, Sun-Yung A.; Yang, Paul C.
1997
Minimal surfaces in pseudohermitian geometry. Zbl 1158.53306
Hwang, Jenn-Fang; Cheng, Jih-Hsin; Malchiodi, Andrea; Yang, Paul
2005
A regularity theory of biharmonic maps. Zbl 0953.58013
Chang, Sun-Yung A.; Wang, Lihe; Yang, Paul C.
1999
An a priori estimate for a fully nonlinear equation on four-manifolds. Zbl 1067.58028
Chang, Sun-Yung; Gursky, Matthew J.; Yang, Paul
2002
Estimates and extremals for zeta function determinants on four-manifolds. Zbl 0761.58053
Branson, Thomas P.; Chang, Sun-Yung A.; Yang, Paul C.
1992
A conformally invariant sphere theorem in four dimensions. Zbl 1066.53079
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
2003
A single-vendor and multiple-buyers production-inventory policy for a deteriorating item. Zbl 1082.90515
Yang, P. C.; Wee, H. M.
2002
The inequality of Moser and Trudinger and applications to conformal geometry. Zbl 1049.53025
Chang, Sun-Yung Alice; Yang, Paul C.
2003
Existence and uniqueness for $$p$$-area minimizers in the Heisenberg group. Zbl 1109.35009
Cheng, Jih-Hsin; Hwang, Jenn-Fang; Yang, Paul
2007
Local boundary regularity of holomorphic mappings. Zbl 0436.32018
Nirenberg, Louis; Webster, S.; Yang, P.
1980
Compactification of a class of conformally flat 4-manifold. Zbl 0990.53026
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C.
2000
Regularity of $$C^{1}$$ smooth surfaces with prescribed $$p$$-mean curvature in the Heisenberg group. Zbl 1171.35026
Cheng, Jih-Hsin; Hwang, Jenn-Fang; Yang, Paul
2009
On a fourth order curvature invariant. Zbl 0982.53035
Chang, Sun-Yung A.; Yang, Paul C.
1999
Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants. Zbl 1271.32040
Chanillo, Sagun; Chiu, Hung-Lin; Yang, Paul
2012
A Paneitz-type operator for CR pluriharmonic functions. Zbl 1316.32021
Case, Jeffrey S.; Yang, Paul
2013
A perturbation result for prescribing mean curvature. Zbl 0893.35033
Chang, Sun-Yung A.; Xu, Xingwang; Yang, Paul C.
1998
A collaborative inventory system with permissible delay in payment for deteriorating items. Zbl 1170.90320
Yang, P. C.; Wee, H. M.
2006
Regularity of a fourth order nonlinear PDE with critical exponent. Zbl 0921.35032
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
1999
On the Chern-Gauss-Bonnet integral for conformal metrics on $$\mathbb{R}^4$$. Zbl 0971.53028
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C.
2000
On a class of locally conformally flat manifolds. Zbl 1137.53327
Chang, Sun-Yung A.; Hang, Fengbo; Yang, Paul C.
2004
Remarks on prescribing Gauss curvature. Zbl 0823.53034
Xu, Xingwang; Yang, Paul C.
1993
The economic lot size of the integrated vendor-buyer inventory system derived without derivatives. Zbl 1072.90503
Yang, P. C.; Wee, H. M.
2002
Entire solutions of a fully nonlinear equation. Zbl 1183.53035
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
2003
Isospectral sets of conformally equivalent metrics. Zbl 0667.53037
Brooks, Robert; Perry, Peter; Yang, Paul
1989
Isospectral conformal metrics on 3-manifolds. Zbl 0701.58056
Chang, Sun-Yung A.; Yang, Paul C. P.
1990
Curvatures of complex submanifolds of $$C^n$$. Zbl 0409.53043
Yang, Paul
1977
A positive mass theorem in three dimensional Cauchy-Riemann geometry. Zbl 1360.32031
Cheng, Jih-Hsin; Malchiodi, Andrea; Yang, Paul
2017
Principal curvature estimates for the convex level sets of semilinear elliptic equations. Zbl 1193.35017
Chang, Sun-Yung Alice; Ma, Xi-Nan; Yang, Paul
2010
Classification of singular radial solutions to the $$\sigma_k$$ Yamabe equation on annular domains. Zbl 1135.53025
Chang, S.-Y. Alice; Han, Zheng-Chao; Yang, Paul
2005
Conformal invariants associated to a measure. Zbl 1160.53356
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul
2006
An inverse Neumann problem. Zbl 0623.35078
Berenstein, Carlos A.; Yang, P. C.
1987
Compactness of isospectral conformal metrics on $$S^ 3$$. Zbl 0679.53038
Chang, Sun-Yung A.; Yang, Paul C.
1989
A Codazzi-like equation and the singular set for $$C^1$$ smooth surfaces in the Heisenberg group. Zbl 1255.53026
Cheng, Jih-Hsin; Hwang, Jenn-Fang; Malchiodi, Andrea; Yang, Paul
2012
$$Q$$-curvature on a class of manifolds with dimension at least 5. Zbl 1346.53037
Hang, Fengbo; Yang, Paul C.
2016
Nonlinear partial differential equations in conformal geometry. Zbl 1036.53024
Chang, Sun-Yung Alice; Yang, Paul C.
2002
Sign of Green’s function of Paneitz operators and the $$Q$$ curvature. Zbl 1327.53042
Hang, Fengbo; Yang, Paul C.
2015
Positivity of Paneitz operators. Zbl 1032.58018
Xu, Xingwang; Yang, Paul C.
2001
Automorphisms of tube domains and spherical hypersurfaces. Zbl 0586.32035
1985
What is $$Q$$-curvature? Zbl 1145.53020
Chang, S.-Y. Alice; Eastwood, Michael; Ørsted, Bent; Yang, Paul C.
2008
Isoperimetric inequalities & volume comparison theorems on CR manifolds. Zbl 1176.32014
Chanillo, Sagun; Yang, Paul C.
2009
Regularity of harmonic maps. Zbl 1044.58019
Chang, Sun-Yung A.; Wang, Lihe; Yang, Paul C.
1999
Embedded three-dimensional CR manifolds and the non-negativity of Paneitz operators. Zbl 1322.32028
Chanillo, Sagun; Chiu, Hung-Lin; Yang, Paul
2013
Non-intrusive reduced order modelling of fluid-structure interactions. Zbl 1425.74167
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.
2016
Uniformization of spherical $$CR$$ manifolds. Zbl 1288.32051
Cheng, Jih-Hsin; Chiu, Hung-Lin; Yang, Paul
2014
On the Paneitz energy on the standard three sphere. Zbl 1072.58026
Yang, Paul; Zhu, Meijun
2004
On a conformal gap and finiteness theorem for a class of four-manifolds. Zbl 1124.53020
Chang, Sun-Yung; Qing, Jie; Yang, Paul
2007
The Sobolev inequality for Paneitz operator on three manifolds. Zbl 1066.53082
Hang, Fengbo; Yang, Paul C.
2004
On the topology of conformally compact Einstein 4-mainfolds. Zbl 1078.53031
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul
2004
$$Q$$ curvature on a class of 3-manifolds. Zbl 1337.53043
Hang, Fengbo; Yang, Paul C.
2016
An overdetermined Neumann problem in the unit disk. Zbl 0488.35063
Berenstein, Carlos A.; Yang, Paul
1982
Automorphism of tube domains. Zbl 0514.32018
Yang, P. C.
1982
On a fourth order equation in 3-D. Zbl 1071.53526
Xu, Xingwang; Yang, Paul C.
2002
Lectures on the fourth-order $$Q$$ curvature equation. Zbl 1353.53001
Hang, Fengbo; Yang, Paul C.
2016
Regularity for $$n$$-harmonic maps. Zbl 0864.58013
Mou, Libin; Yang, Paul
1996
Collaborative pricing and replenishment policy for hi-tech industry. Zbl 1178.90173
Yang, P. C.; Wee, H. M.; Yu, J. C. P.
2007
Sequential and global optimization for a closed-loop deteriorating inventory supply chain. Zbl 1201.90041
Yang, P. C.; Wee, H. M.; Chung, S. L.; Ho, P. C.
2010
The CR Paneitz operator and the stability of CR pluriharmonic functions. Zbl 1327.32050
Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul
2016
On Kähler manifolds with negative holomorphic bisectional curvature. Zbl 0358.32005
Yang, Paul C.
1976
Global optimal policy for vendor-buyer integrated inventory system within just in time environment. Zbl 1198.90045
Yang, P. C.; Wee, H. M.; Yang, H. J.
2007
Umbilicity and characterization of Pansu spheres in the Heisenberg group. Zbl 1388.53051
Cheng, Jih-Hsin; Chiu, Hung-Lin; Hwang, Jenn-Fang; Yang, Paul
2018
Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature. Zbl 0491.53041
Siu, Yum-Tong; Yang, Paul
1981
The optimal and heuristic solutions of a distribution network. Zbl 1056.90020
Wee, H. M.; Yang, P. C.
2004
Conformal invariants associated to a measure: conformally covariant operators. Zbl 1236.53033
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul
2011
Fourth order equations in conformal geometry. Zbl 0997.35016
Chang, Sun-Yung A.; Yang, Paul C.
2000
Some progress in conformal geometry. Zbl 1133.53031
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul
2007
A remark on the kernel of the CR Paneitz operator. Zbl 1321.32012
Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul
2015
A win-win strategy for an integrated vendor-buyer deteriorating inventory system. Zbl 1231.90072
Yang, P. C.; Wee, H. M.
2006
Addendum to “A perturbation result in prescribing scalar curvature on $$S^ n$$ ”. Zbl 0796.53045
Chang, Sun-Yung Alice; Yang, Paul C.
1993
On finiteness of Kleinian groups in general dimension. Zbl 1051.30037
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C.
2004
Paneitz operator for metrics near $$S^{3}$$. Zbl 1377.53054
Hang, Fengbo; Yang, Paul C.
2017
Kähler metrics on fibered manifolds. Zbl 0353.53039
Yang, Paul C.
1977
Conformal energy in four dimension. Zbl 1026.53036
Xu, Xinwang; Yang, Paul C.
2002
Bi-level vendor-buyer strategies for a time-varying product price. Zbl 1290.90008
Wee, H. M.; Lee, M. C.; Yang, P. C.; Chung, R. L.
2013
A hybrid of monopoly and perfect competition model for hi-tech products. Zbl 1202.90022
Yang, P. C.; Wee, H. M.; Pai, S.; Yang, H. J.; Wee, P. K. P.
2010
On the prescribing $$\sigma_2$$ curvature equation on $$\mathbb S^4$$. Zbl 1217.58011
Chang, Sun-Yung Alice; Han, Zheng-Chao; Yang, Paul
2011
A construction of $$m$$-harmonic maps of spheres. Zbl 0786.58011
Xu, Xingwang; Yang, Paul C.
1993
Multiple solutions and regularity of $$H$$-systems. Zbl 1077.35503
Mou, Libin; Yang, Paul
1996
The conformal deformation equation and isospectral set of conformal metrics. Zbl 0698.53024
Chang, Sun-Yung A.; Yang, Paul C.
1989
An integrated vendor-buyer inventory model with perfect and monopolistic competitions: an educational note. Zbl 1127.90308
Yang, P. C.; Wee, H. M.; Wee, K. P.
2006
Conformal, Riemannian and Lagrangian geometry. The 2000 Barrett lectures. Edited by Alexandre Freire. Zbl 1019.53001
Chang, Sun-Yung A.; Yang, Paul C.; Grove, Karsten; Wolfson, Jon G.
2002
Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. Zbl 1411.76073
Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C.
2019
Geometry of tube domains. Zbl 0579.32050
Yang, P.
1984
Curvature of complex submanifolds of $$C^n$$. Zbl 0355.53035
Yang, Paul
1977
Some remarks on the geometry of a class of locally conformally flat metrics. Zbl 1444.53025
Chang, Sun-Yung A.; Han, Zheng-Chao; Yang, Paul
2020
A newsboy supplier selection problem with return policy by using KKT and GA. Zbl 1183.90046
Yang, P. C.; Wee, H. M.; Chung, S. L.; Kang, S. H.
2009
The $$Q$$-curvature equation in conformal geometry. Zbl 1182.53032
Chang, Sun-Yung Alice; Yang, Paul C.
2008
Extremal metrics for the $$Q'$$-curvature in three dimensions. (Métriques extrémales pour la $$Q'$$-courbure en dimension 3.) Zbl 1381.53062
Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul
2016
Isoperimetric inequality on CR-manifolds with nonnegative $$Q^\prime$$-curvature. Zbl 1400.32021
Wang, Yi; Yang, Paul
2018
Some remarks on the geometry of a class of locally conformally flat metrics. Zbl 1444.53025
Chang, Sun-Yung A.; Han, Zheng-Chao; Yang, Paul
2020
Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. Zbl 1411.76073
Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C.
2019
Umbilicity and characterization of Pansu spheres in the Heisenberg group. Zbl 1388.53051
Cheng, Jih-Hsin; Chiu, Hung-Lin; Hwang, Jenn-Fang; Yang, Paul
2018
Isoperimetric inequality on CR-manifolds with nonnegative $$Q^\prime$$-curvature. Zbl 1400.32021
Wang, Yi; Yang, Paul
2018
A positive mass theorem in three dimensional Cauchy-Riemann geometry. Zbl 1360.32031
Cheng, Jih-Hsin; Malchiodi, Andrea; Yang, Paul
2017
Paneitz operator for metrics near $$S^{3}$$. Zbl 1377.53054
Hang, Fengbo; Yang, Paul C.
2017
$$Q$$-curvature on a class of manifolds with dimension at least 5. Zbl 1346.53037
Hang, Fengbo; Yang, Paul C.
2016
Non-intrusive reduced order modelling of fluid-structure interactions. Zbl 1425.74167
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.
2016
$$Q$$ curvature on a class of 3-manifolds. Zbl 1337.53043
Hang, Fengbo; Yang, Paul C.
2016
Lectures on the fourth-order $$Q$$ curvature equation. Zbl 1353.53001
Hang, Fengbo; Yang, Paul C.
2016
The CR Paneitz operator and the stability of CR pluriharmonic functions. Zbl 1327.32050
Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul
2016
Extremal metrics for the $$Q'$$-curvature in three dimensions. (Métriques extrémales pour la $$Q'$$-courbure en dimension 3.) Zbl 1381.53062
Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul
2016
Sign of Green’s function of Paneitz operators and the $$Q$$ curvature. Zbl 1327.53042
Hang, Fengbo; Yang, Paul C.
2015
A remark on the kernel of the CR Paneitz operator. Zbl 1321.32012
Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul
2015
Uniformization of spherical $$CR$$ manifolds. Zbl 1288.32051
Cheng, Jih-Hsin; Chiu, Hung-Lin; Yang, Paul
2014
A Paneitz-type operator for CR pluriharmonic functions. Zbl 1316.32021
Case, Jeffrey S.; Yang, Paul
2013
Embedded three-dimensional CR manifolds and the non-negativity of Paneitz operators. Zbl 1322.32028
Chanillo, Sagun; Chiu, Hung-Lin; Yang, Paul
2013
Bi-level vendor-buyer strategies for a time-varying product price. Zbl 1290.90008
Wee, H. M.; Lee, M. C.; Yang, P. C.; Chung, R. L.
2013
Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants. Zbl 1271.32040
Chanillo, Sagun; Chiu, Hung-Lin; Yang, Paul
2012
A Codazzi-like equation and the singular set for $$C^1$$ smooth surfaces in the Heisenberg group. Zbl 1255.53026
Cheng, Jih-Hsin; Hwang, Jenn-Fang; Malchiodi, Andrea; Yang, Paul
2012
Conformal invariants associated to a measure: conformally covariant operators. Zbl 1236.53033
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul
2011
On the prescribing $$\sigma_2$$ curvature equation on $$\mathbb S^4$$. Zbl 1217.58011
Chang, Sun-Yung Alice; Han, Zheng-Chao; Yang, Paul
2011
Principal curvature estimates for the convex level sets of semilinear elliptic equations. Zbl 1193.35017
Chang, Sun-Yung Alice; Ma, Xi-Nan; Yang, Paul
2010
Sequential and global optimization for a closed-loop deteriorating inventory supply chain. Zbl 1201.90041
Yang, P. C.; Wee, H. M.; Chung, S. L.; Ho, P. C.
2010
A hybrid of monopoly and perfect competition model for hi-tech products. Zbl 1202.90022
Yang, P. C.; Wee, H. M.; Pai, S.; Yang, H. J.; Wee, P. K. P.
2010
Regularity of $$C^{1}$$ smooth surfaces with prescribed $$p$$-mean curvature in the Heisenberg group. Zbl 1171.35026
Cheng, Jih-Hsin; Hwang, Jenn-Fang; Yang, Paul
2009
Isoperimetric inequalities & volume comparison theorems on CR manifolds. Zbl 1176.32014
Chanillo, Sagun; Yang, Paul C.
2009
A newsboy supplier selection problem with return policy by using KKT and GA. Zbl 1183.90046
Yang, P. C.; Wee, H. M.; Chung, S. L.; Kang, S. H.
2009
What is $$Q$$-curvature? Zbl 1145.53020
Chang, S.-Y. Alice; Eastwood, Michael; Ørsted, Bent; Yang, Paul C.
2008
The $$Q$$-curvature equation in conformal geometry. Zbl 1182.53032
Chang, Sun-Yung Alice; Yang, Paul C.
2008
Existence and uniqueness for $$p$$-area minimizers in the Heisenberg group. Zbl 1109.35009
Cheng, Jih-Hsin; Hwang, Jenn-Fang; Yang, Paul
2007
On a conformal gap and finiteness theorem for a class of four-manifolds. Zbl 1124.53020
Chang, Sun-Yung; Qing, Jie; Yang, Paul
2007
Collaborative pricing and replenishment policy for hi-tech industry. Zbl 1178.90173
Yang, P. C.; Wee, H. M.; Yu, J. C. P.
2007
Global optimal policy for vendor-buyer integrated inventory system within just in time environment. Zbl 1198.90045
Yang, P. C.; Wee, H. M.; Yang, H. J.
2007
Some progress in conformal geometry. Zbl 1133.53031
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul
2007
A collaborative inventory system with permissible delay in payment for deteriorating items. Zbl 1170.90320
Yang, P. C.; Wee, H. M.
2006
Conformal invariants associated to a measure. Zbl 1160.53356
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul
2006
A win-win strategy for an integrated vendor-buyer deteriorating inventory system. Zbl 1231.90072
Yang, P. C.; Wee, H. M.
2006
An integrated vendor-buyer inventory model with perfect and monopolistic competitions: an educational note. Zbl 1127.90308
Yang, P. C.; Wee, H. M.; Wee, K. P.
2006
Minimal surfaces in pseudohermitian geometry. Zbl 1158.53306
Hwang, Jenn-Fang; Cheng, Jih-Hsin; Malchiodi, Andrea; Yang, Paul
2005
Classification of singular radial solutions to the $$\sigma_k$$ Yamabe equation on annular domains. Zbl 1135.53025
Chang, S.-Y. Alice; Han, Zheng-Chao; Yang, Paul
2005
On a class of locally conformally flat manifolds. Zbl 1137.53327
Chang, Sun-Yung A.; Hang, Fengbo; Yang, Paul C.
2004
On the Paneitz energy on the standard three sphere. Zbl 1072.58026
Yang, Paul; Zhu, Meijun
2004
The Sobolev inequality for Paneitz operator on three manifolds. Zbl 1066.53082
Hang, Fengbo; Yang, Paul C.
2004
On the topology of conformally compact Einstein 4-mainfolds. Zbl 1078.53031
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul
2004
The optimal and heuristic solutions of a distribution network. Zbl 1056.90020
Wee, H. M.; Yang, P. C.
2004
On finiteness of Kleinian groups in general dimension. Zbl 1051.30037
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C.
2004
A conformally invariant sphere theorem in four dimensions. Zbl 1066.53079
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
2003
The inequality of Moser and Trudinger and applications to conformal geometry. Zbl 1049.53025
Chang, Sun-Yung Alice; Yang, Paul C.
2003
Entire solutions of a fully nonlinear equation. Zbl 1183.53035
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
2003
An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature. Zbl 1031.53062
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
2002
An a priori estimate for a fully nonlinear equation on four-manifolds. Zbl 1067.58028
Chang, Sun-Yung; Gursky, Matthew J.; Yang, Paul
2002
A single-vendor and multiple-buyers production-inventory policy for a deteriorating item. Zbl 1082.90515
Yang, P. C.; Wee, H. M.
2002
The economic lot size of the integrated vendor-buyer inventory system derived without derivatives. Zbl 1072.90503
Yang, P. C.; Wee, H. M.
2002
Nonlinear partial differential equations in conformal geometry. Zbl 1036.53024
Chang, Sun-Yung Alice; Yang, Paul C.
2002
On a fourth order equation in 3-D. Zbl 1071.53526
Xu, Xingwang; Yang, Paul C.
2002
Conformal energy in four dimension. Zbl 1026.53036
Xu, Xinwang; Yang, Paul C.
2002
Conformal, Riemannian and Lagrangian geometry. The 2000 Barrett lectures. Edited by Alexandre Freire. Zbl 1019.53001
Chang, Sun-Yung A.; Yang, Paul C.; Grove, Karsten; Wolfson, Jon G.
2002
Positivity of Paneitz operators. Zbl 1032.58018
Xu, Xingwang; Yang, Paul C.
2001
Compactification of a class of conformally flat 4-manifold. Zbl 0990.53026
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C.
2000
On the Chern-Gauss-Bonnet integral for conformal metrics on $$\mathbb{R}^4$$. Zbl 0971.53028
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C.
2000
Fourth order equations in conformal geometry. Zbl 0997.35016
Chang, Sun-Yung A.; Yang, Paul C.
2000
A regularity theory of biharmonic maps. Zbl 0953.58013
Chang, Sun-Yung A.; Wang, Lihe; Yang, Paul C.
1999
On a fourth order curvature invariant. Zbl 0982.53035
Chang, Sun-Yung A.; Yang, Paul C.
1999
Regularity of a fourth order nonlinear PDE with critical exponent. Zbl 0921.35032
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
1999
Regularity of harmonic maps. Zbl 1044.58019
Chang, Sun-Yung A.; Wang, Lihe; Yang, Paul C.
1999
A perturbation result for prescribing mean curvature. Zbl 0893.35033
Chang, Sun-Yung A.; Xu, Xingwang; Yang, Paul C.
1998
On uniqueness of solutions of $$n$$-th order differential equations in conformal geometry. Zbl 0903.53027
Chang, Sun-Yung A.; Yang, Paul C.
1997
Regularity for $$n$$-harmonic maps. Zbl 0864.58013
Mou, Libin; Yang, Paul
1996
Multiple solutions and regularity of $$H$$-systems. Zbl 1077.35503
Mou, Libin; Yang, Paul
1996
Extremal metrics of zeta function determinants on 4-manifolds. Zbl 0842.58011
Chang, Sun-Yung A.; Yang, Paul C.
1995
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
1993
Remarks on prescribing Gauss curvature. Zbl 0823.53034
Xu, Xingwang; Yang, Paul C.
1993
Addendum to “A perturbation result in prescribing scalar curvature on $$S^ n$$ ”. Zbl 0796.53045
Chang, Sun-Yung Alice; Yang, Paul C.
1993
A construction of $$m$$-harmonic maps of spheres. Zbl 0786.58011
Xu, Xingwang; Yang, Paul C.
1993
Estimates and extremals for zeta function determinants on four-manifolds. Zbl 0761.58053
Branson, Thomas P.; Chang, Sun-Yung A.; Yang, Paul C.
1992
A perturbation result in prescribing scalar curvature on $$S^ n$$. Zbl 0739.53027
Chang, Sun-Yung A.; Yang, Paul C.
1991
Isospectral conformal metrics on 3-manifolds. Zbl 0701.58056
Chang, Sun-Yung A.; Yang, Paul C. P.
1990
Isospectral sets of conformally equivalent metrics. Zbl 0667.53037
Brooks, Robert; Perry, Peter; Yang, Paul
1989
Compactness of isospectral conformal metrics on $$S^ 3$$. Zbl 0679.53038
Chang, Sun-Yung A.; Yang, Paul C.
1989
The conformal deformation equation and isospectral set of conformal metrics. Zbl 0698.53024
Chang, Sun-Yung A.; Yang, Paul C.
1989
Conformal deformations of metric on $${\mathcal S}$$ 2. Zbl 0649.53022
Chang, Sun-Yung A.; Yang, Paul C.
1988
Prescribing Gaussian curvature on S 2. Zbl 0636.53053
Chang, Sun-Yung Alice; Yang, Paul C.
1987
An inverse Neumann problem. Zbl 0623.35078
Berenstein, Carlos A.; Yang, P. C.
1987
Automorphisms of tube domains and spherical hypersurfaces. Zbl 0586.32035
1985
Geometry of tube domains. Zbl 0579.32050
Yang, P.
1984
An overdetermined Neumann problem in the unit disk. Zbl 0488.35063
Berenstein, Carlos A.; Yang, Paul
1982
Automorphism of tube domains. Zbl 0514.32018
Yang, P. C.
1982
Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature. Zbl 0491.53041
Siu, Yum-Tong; Yang, Paul
1981
Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Zbl 0446.58017
Yang, Paul C.; Yau, Shing-Tung
1980
Local boundary regularity of holomorphic mappings. Zbl 0436.32018
Nirenberg, Louis; Webster, S.; Yang, P.
1980
Curvatures of complex submanifolds of $$C^n$$. Zbl 0409.53043
Yang, Paul
1977
Kähler metrics on fibered manifolds. Zbl 0353.53039
Yang, Paul C.
1977
Curvature of complex submanifolds of $$C^n$$. Zbl 0355.53035
Yang, Paul
1977
On Kähler manifolds with negative holomorphic bisectional curvature. Zbl 0358.32005
Yang, Paul C.
1976
all top 5

### Cited by 985 Authors

 36 Yang, Paul C. P. 32 Li, YanYan 26 Chtioui, Hichem 22 Chang, Sun-Yung Alice 21 Lin, Chang-Shou 21 Wei, Juncheng 19 Malchiodi, Andrea 17 Ho, Pak Tung 17 Xu, Xingwang 15 Dai, Wei 14 Case, Jeffrey S. 14 Cheng, Jih-Hsin 14 Lu, Guozhen 14 Ould Ahmedou, Mohameden 14 Wang, Guofang 12 Abdelhedi, Wael 12 Branson, Thomas Patrick 12 Gover, Ashwin Rod 12 Gursky, Matthew J. 11 Chiu, Hung-Lin 11 Nguyen, Luc 11 Qing, Jie 11 Ritoré, Manuel 11 Wang, Changyou 10 Alarcón, Antonio 10 Guo, Yuxia 10 Li, Congming 9 Citti, Giovanna 9 Ge, Yuxin 9 Qin, Guolin 9 Rosales, César 9 Yang, Yunyan 8 Ben Ayed, Mohamed 8 Djadli, Zindine 8 Forstnerič, Franc 8 Jevnikar, Aleks 8 Yang, Wen 8 Zhang, Lei 7 Bartolucci, Daniele 7 Chen, Wenxiong 7 El Soufi, Ahmad 7 Fardoun, Ali 7 Gui, Changfeng 7 Han, Zheng-Chao 7 Hsiao, Chin-Yu 7 Hwang, Jenn-Fang 7 Leung, Man Chun 7 Martinazzi, Luca 7 Ndiaye, Cheikh Birahim 7 Sharaf, Khadijah 7 Sire, Yannick 7 Sukhov, Alexandre B. 6 Battaglia, Luca 6 Capogna, Luca 6 de Marchis, Francesca 6 Dương Ngọc Sơn 6 Hebey, Emmanuel 6 Ilias, Saïd 6 Lamm, Tobias 6 Li, Aobing 6 Marugame, Taiji 6 Morpurgo, Carlo 6 Musso, Monica 6 Xiong, Jingang 5 Chanillo, Sagun 5 Chen, Xuezhang 5 Cheng, Qingming 5 Coupet, Bernard 5 Espinar, José María 5 Garofalo, Nicola 5 Gilkey, Peter B. 5 González, María del Mar 5 Hang, Fengbo 5 Hurtado, Ana 5 Hyder, Ali 5 Isaev, Alexander 5 Isobe, Takeshi 5 Karpukhin, Mikhail A. 5 Li, Jiayu 5 Li, Songying 5 Lin, Yueh-Ju 5 Lu, Jian 5 Ma, Xi-Nan 5 Maz’ya, Vladimir Gilelevich 5 Nguyễn Văn Hoàng 5 Rigane, Afef 5 Santra, Sanjiban 5 Sheng, Weimin 5 Xia, Changyu 5 Yuan, Wei 5 Zhang, Wei 4 Awonusika, Richard Olu 4 Chen, Chiun-Chuan 4 Chen, ChuanQiang 4 de Araujo, Anderson Luis Albuquerque 4 Esposito, Pierpaolo 4 Fontana, Luigi 4 Frank, Rupert L. 4 Galli, Matteo 4 Gamara, Najoua ...and 885 more Authors
all top 5

### Cited in 187 Serials

 112 Calculus of Variations and Partial Differential Equations 63 Advances in Mathematics 49 The Journal of Geometric Analysis 48 Journal of Differential Equations 46 Journal of Functional Analysis 39 Mathematische Annalen 34 Duke Mathematical Journal 30 Mathematische Zeitschrift 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Proceedings of the American Mathematical Society 27 Transactions of the American Mathematical Society 23 Annals of Global Analysis and Geometry 22 Differential Geometry and its Applications 19 Communications in Partial Differential Equations 19 Discrete and Continuous Dynamical Systems 17 Communications in Mathematical Physics 17 Communications in Contemporary Mathematics 16 Communications on Pure and Applied Mathematics 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Journal of Mathematical Analysis and Applications 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Inventiones Mathematicae 13 Pacific Journal of Mathematics 13 Advanced Nonlinear Studies 12 Journal of Geometry and Physics 11 Manuscripta Mathematica 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Geometric and Functional Analysis. GAFA 10 Journal of the European Mathematical Society (JEMS) 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Science China. Mathematics 9 Journal d’Analyse Mathématique 9 Advances in Calculus of Variations 8 Bulletin of the American Mathematical Society. New Series 8 Acta Mathematica Sinica. English Series 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Annales de l’Institut Fourier 7 Geometriae Dedicata 7 Journal für die Reine und Angewandte Mathematik 7 International Journal of Mathematics 7 Communications on Pure and Applied Analysis 7 Complex Variables and Elliptic Equations 6 Archive for Rational Mechanics and Analysis 6 Mathematical Notes 5 Indiana University Mathematics Journal 5 Nagoya Mathematical Journal 5 Chinese Annals of Mathematics. Series B 5 NoDEA. Nonlinear Differential Equations and Applications 5 Annals of Mathematics. Second Series 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Archiv der Mathematik 4 Journal of Geometry 4 Journal of the Mathematical Society of Japan 4 Mathematische Nachrichten 4 Revista Matemática Iberoamericana 4 Potential Analysis 4 Bulletin des Sciences Mathématiques 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Inequalities and Applications 4 Annales Henri Poincaré 4 Boundary Value Problems 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Spectral Theory 4 Communications in Mathematics and Statistics 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Mathematical Sciences (New York) 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 3 Arabian Journal of Mathematics 3 Séminaire Laurent Schwartz. EDP et Applications 2 Bulletin of the Australian Mathematical Society 2 General Relativity and Gravitation 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Publications Mathématiques 2 Osaka Journal of Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Numerical Algorithms 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Advances in Differential Equations 2 Abstract and Applied Analysis 2 Conformal Geometry and Dynamics 2 Journal of High Energy Physics 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics ...and 87 more Serials
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### Cited in 47 Fields

 596 Partial differential equations (35-XX) 576 Differential geometry (53-XX) 381 Global analysis, analysis on manifolds (58-XX) 151 Several complex variables and analytic spaces (32-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 44 Functional analysis (46-XX) 36 Potential theory (31-XX) 29 Real functions (26-XX) 24 Functions of a complex variable (30-XX) 21 Operator theory (47-XX) 20 Integral equations (45-XX) 19 Quantum theory (81-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 14 Relativity and gravitational theory (83-XX) 12 Manifolds and cell complexes (57-XX) 10 Topological groups, Lie groups (22-XX) 10 Convex and discrete geometry (52-XX) 10 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 8 Measure and integration (28-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Abstract harmonic analysis (43-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 6 Fluid mechanics (76-XX) 5 Algebraic geometry (14-XX) 5 Special functions (33-XX) 5 Mechanics of deformable solids (74-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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