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Cheng, Shiu-Yuen

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Author ID: cheng.shiu-yuen Recent zbMATH articles by "Cheng, Shiu-Yuen"
Published as: Cheng, S. Y.; Cheng, Shiu Yuen; Cheng, Shiu-Yuen; Cheng, Shiu-yuen; Cheng, Siu Yuen
Homepage: https://www.math.ust.hk/people/faculty/macheng/
External Links: MGP · Wikidata
Documents Indexed: 32 Publications since 1975, including 5 Books

Publications by Year

Citations contained in zbMATH

24 Publications have been cited 1,751 times in 1,583 Documents Cited by Year
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
334
1975
Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021
Cheng, Shiu-Yuen; Yau, Shing-Tung
236
1976
Eigenvalue comparison theorems and its geometric applications. Zbl 0329.53035
Cheng, Shiu-Yuen
172
1975
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman’s equation. Zbl 0506.53031
Cheng, Shiu-Yuen; Yau, Shing-Tung
165
1980
Hypersurfaces with constant scalar curvature. Zbl 0349.53041
Cheng, Shiu-Yuen; Yau, Shing-Tung
158
1977
Eigenfunctions and nodal sets. Zbl 0334.35022
Cheng, Shiu-Yuen
130
1976
On the regularity of the Monge-Ampère equation \(\text{det}(\partial^2u/\partial x_1\partial x_j)=F(x,u)\). Zbl 0347.35019
Cheng, Shiu-Yuen; Yau, Shing-Tung
118
1977
Complete affine hypersurfaces. I: The completeness of affine metrics. Zbl 0623.53002
Cheng, Shiu-Yuen; Yau, Shing-Tung
95
1986
On the regularity of the solution of the \(n\)-dimensional Minkowski problem. Zbl 0363.53030
Cheng, Shiu-Yuen; Yau, Shing-Tung
91
1976
On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035
Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung
81
1981
Heat equations on minimal submanifolds and their applications. Zbl 0575.53038
Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung
36
1984
Heat kernel estimates and lower bound of eigenvalues. Zbl 0484.53034
Cheng, Shiu-Yuen; Li, Peter
33
1981
The real Monge-Ampère equation and affine flat structures. Zbl 0517.35020
Cheng, Shiu-Yuen; Yau, Shing-Tung
17
1982
Liouville theorem for harmonic maps. Zbl 0455.58009
Cheng, Shiu-Yuen
14
1980
On the Schwarz lemma for complete Kähler manifolds. Zbl 0432.53010
Chen, C. H.; Cheng, Shiu-yuen; Look, K. H.
11
1979
Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain. Zbl 0920.58054
Cheng, Shiu-Yuen; Oden, Kevin
9
1997
Harmonic maps with finite total energy. Zbl 0871.53034
Cheng, Shiu-Yuen; Tam, Luen-Fai; Wan, Tom Y.-H.
9
1996
The Dirichlet problem at infinity for nonpositively curved manifolds. Zbl 0782.58046
Cheng, Shiu-Yuen
9
1993
Schrödinger operators and index bounds for minimal submanifolds. Zbl 0818.53075
Cheng, Shiu-Yuen; Tysk, Johan
6
1994
An index characterization of the catenoid and index bounds for minimal surfaces in \(R^ 4\). Zbl 0613.58030
Cheng, Shiu-Yuen; Tysk, Johan
6
1988
Inequality between Chern numbers of singular Kähler surfaces and characterization of orbit space of discrete group of SU(2,1). Zbl 0597.53052
Cheng, S. Y.; Yau, S. T.
6
1986
Eigenfunctions and eigenvalues of Laplacian. Zbl 0308.35076
Cheng, Shiu-Yuen
6
1975
A characterization of the 2-sphere by eigenfunctions. Zbl 0327.53030
Cheng, Shiu-Yuen
5
1976
On the Chern conjecture for minimal hypersurface with constant scalar curvatures in the spheres. Zbl 0907.53041
Cheng, Shiu-Yuen
4
1997
Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain. Zbl 0920.58054
Cheng, Shiu-Yuen; Oden, Kevin
9
1997
On the Chern conjecture for minimal hypersurface with constant scalar curvatures in the spheres. Zbl 0907.53041
Cheng, Shiu-Yuen
4
1997
Harmonic maps with finite total energy. Zbl 0871.53034
Cheng, Shiu-Yuen; Tam, Luen-Fai; Wan, Tom Y.-H.
9
1996
Schrödinger operators and index bounds for minimal submanifolds. Zbl 0818.53075
Cheng, Shiu-Yuen; Tysk, Johan
6
1994
The Dirichlet problem at infinity for nonpositively curved manifolds. Zbl 0782.58046
Cheng, Shiu-Yuen
9
1993
An index characterization of the catenoid and index bounds for minimal surfaces in \(R^ 4\). Zbl 0613.58030
Cheng, Shiu-Yuen; Tysk, Johan
6
1988
Complete affine hypersurfaces. I: The completeness of affine metrics. Zbl 0623.53002
Cheng, Shiu-Yuen; Yau, Shing-Tung
95
1986
Inequality between Chern numbers of singular Kähler surfaces and characterization of orbit space of discrete group of SU(2,1). Zbl 0597.53052
Cheng, S. Y.; Yau, S. T.
6
1986
Heat equations on minimal submanifolds and their applications. Zbl 0575.53038
Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung
36
1984
The real Monge-Ampère equation and affine flat structures. Zbl 0517.35020
Cheng, Shiu-Yuen; Yau, Shing-Tung
17
1982
On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035
Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung
81
1981
Heat kernel estimates and lower bound of eigenvalues. Zbl 0484.53034
Cheng, Shiu-Yuen; Li, Peter
33
1981
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman’s equation. Zbl 0506.53031
Cheng, Shiu-Yuen; Yau, Shing-Tung
165
1980
Liouville theorem for harmonic maps. Zbl 0455.58009
Cheng, Shiu-Yuen
14
1980
On the Schwarz lemma for complete Kähler manifolds. Zbl 0432.53010
Chen, C. H.; Cheng, Shiu-yuen; Look, K. H.
11
1979
Hypersurfaces with constant scalar curvature. Zbl 0349.53041
Cheng, Shiu-Yuen; Yau, Shing-Tung
158
1977
On the regularity of the Monge-Ampère equation \(\text{det}(\partial^2u/\partial x_1\partial x_j)=F(x,u)\). Zbl 0347.35019
Cheng, Shiu-Yuen; Yau, Shing-Tung
118
1977
Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021
Cheng, Shiu-Yuen; Yau, Shing-Tung
236
1976
Eigenfunctions and nodal sets. Zbl 0334.35022
Cheng, Shiu-Yuen
130
1976
On the regularity of the solution of the \(n\)-dimensional Minkowski problem. Zbl 0363.53030
Cheng, Shiu-Yuen; Yau, Shing-Tung
91
1976
A characterization of the 2-sphere by eigenfunctions. Zbl 0327.53030
Cheng, Shiu-Yuen
5
1976
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
334
1975
Eigenvalue comparison theorems and its geometric applications. Zbl 0329.53035
Cheng, Shiu-Yuen
172
1975
Eigenfunctions and eigenvalues of Laplacian. Zbl 0308.35076
Cheng, Shiu-Yuen
6
1975
all top 5

Cited by 1,457 Authors

54 de Lima, Henrique F.
30 Velásquez, Marco Antonio Lázaro
26 Romero, Alfonso
24 Alías, Luis J.
21 Rubio, Rafael María
18 Rigoli, Marco
18 Yau, Shing-Tung
17 Dos Santos, Fábio Reis
16 Bao, Jiguang
12 Grigor’yan, Alexander Asaturovich
12 Li, Peter
12 Ma, Ruyun
12 Bessa, Gregório Pacelli
11 Aquino, Cicero Pedro
11 Li, Haizhong
11 Wei, Guoxin
11 Wu, Jiayong
10 Tam, Luen-Fai
10 Xia, Changyu
10 Xu, Hongwei
9 Aledo, Juan Ángel
9 Dai, Guowei
9 Hua, Bobo
9 Li, Jiayu
9 Sun, Yuhua
8 Colares, Antonio Gervásio
8 Donnelly, Harold
8 Huang, Yong
8 Jian, Huaiyu
8 Jiang, Renjin
8 Jost, Jürgen
8 Li, An-Min
8 Tian, Gang
8 Wang, Linfeng
8 Wang, Xu-Jia
8 Yin, Weiping
8 Zhang, Zhijun
7 Cheng, Qingming
7 Fernández, Isabel
7 Huang, Guangyue
7 Li, Haigang
7 Mari, Luciano
7 Milán, Francisco
7 Urbas, John Ivan Eugene
7 Wang, Jiaping
7 Wang, Qiaoling
7 Wei, Guofang
7 Xin, Yuanlong
7 Xu, Zhiyuan
7 Zhang, Shicheng
6 Caballero, Magdalena
6 Caminha, Antonio
6 Colding, Tobias Holck
6 Colesanti, Andrea
6 Fernandes de Lima, Henrique
6 Holopainen, Ilkka
6 Miquel, Vicente
6 Munteanu, Ovidiu
6 Ni, Lei
6 Oliveira, Arlandson Matheus Silva
6 Pelegrín, José A. S.
6 Salamanca, Juan Jesús
6 Setti, Alberto G.
6 Shu, Shichang
6 Souam, Rabah
6 Takimoto, Kazuhiro
6 Wang, An
6 Xu, Man
6 Zhang, Gaoyong
6 Zhang, Xi
5 Albujer, Alma L.
5 Alencar, Hilário
5 Chang, Shu-Cheng
5 Chou, Kai-Seng
5 Gálvez, Jose Antonio
5 Gomes, José Nazareno Vieira
5 Guan, Bo
5 Guan, Pengfei
5 Honda, Shouhei
5 Ivaki, Mohammad N.
5 Kasue, Atsushi
5 Kim, Kang-Tae
5 Kobayashi, Ryoichi
5 Li, YanYan
5 Lions, Pierre-Louis
5 Markvorsen, Steen
5 Mira, Pablo
5 Mok, Ngaiming
5 Montenegro, José Fábio Bezerra
5 Nadirashvili, Nikolai S.
5 Palmer, Vicente
5 Pigola, Stefano
5 Schoen, Richard Melvin
5 Thalmaier, Anton
5 Torres, Pedro José
5 Trudinger, Neil Sidney
5 Vrancken, Luc
5 Wigman, Igor
5 Xiang, Ni
5 Xu, Ruiwei
...and 1,357 more Authors
all top 5

Cited in 221 Serials

77 The Journal of Geometric Analysis
70 Journal of Mathematical Analysis and Applications
62 Proceedings of the American Mathematical Society
59 Transactions of the American Mathematical Society
57 Advances in Mathematics
50 Journal of Functional Analysis
50 Mathematische Zeitschrift
48 Calculus of Variations and Partial Differential Equations
46 Differential Geometry and its Applications
43 Mathematische Annalen
40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Journal of Geometry and Physics
32 Journal of Differential Equations
30 Annals of Global Analysis and Geometry
29 Manuscripta Mathematica
27 Inventiones Mathematicae
25 Duke Mathematical Journal
25 Geometriae Dedicata
24 Communications in Mathematical Physics
22 Results in Mathematics
20 Annales de l’Institut Fourier
19 Tohoku Mathematical Journal. Second Series
17 Monatshefte für Mathematik
15 Potential Analysis
15 Acta Mathematica Sinica. English Series
14 International Journal of Mathematics
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Bulletin of the Australian Mathematical Society
12 General Relativity and Gravitation
12 Acta Mathematica
12 Geometric and Functional Analysis. GAFA
11 Communications in Partial Differential Equations
10 Rocky Mountain Journal of Mathematics
10 Chinese Annals of Mathematics. Series B
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Journal of the American Mathematical Society
9 Archive for Rational Mechanics and Analysis
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Mathematische Nachrichten
9 Science in China. Series A
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Bulletin of the Brazilian Mathematical Society. New Series
9 Mediterranean Journal of Mathematics
8 Israel Journal of Mathematics
8 Journal of Mathematical Physics
8 Archiv der Mathematik
8 Journal für die Reine und Angewandte Mathematik
8 Kodai Mathematical Journal
8 Osaka Journal of Mathematics
8 Revista Matemática Iberoamericana
8 Bulletin of the American Mathematical Society. New Series
8 Communications in Contemporary Mathematics
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Glasgow Mathematical Journal
7 Nagoya Mathematical Journal
7 Science China. Mathematics
6 Communications on Pure and Applied Mathematics
6 Mathematical Notes
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Compositio Mathematica
6 Journal of Geometry
6 Journal of Soviet Mathematics
6 Pacific Journal of Mathematics
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Annals of Mathematics. Second Series
6 Frontiers of Mathematics in China
5 Beiträge zur Algebra und Geometrie
5 Linear Algebra and its Applications
5 Acta Mathematica Sinica. New Series
5 Bulletin des Sciences Mathématiques
5 Discrete and Continuous Dynamical Systems
5 Geometry & Topology
5 Advanced Nonlinear Studies
5 Communications on Pure and Applied Analysis
4 Journal of the Mathematical Society of Japan
4 Annales Henri Poincaré
4 International Journal of Geometric Methods in Modern Physics
4 Boundary Value Problems
4 Analysis & PDE
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Journal d’Analyse Mathématique
3 Letters in Mathematical Physics
3 Anais da Academia Brasileira de Ciências
3 The Annals of Probability
3 Czechoslovak Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 Acta Mathematica Hungarica
3 Stochastic Processes and their Applications
3 Applied Mathematics. Series B (English Edition)
3 Journal of Mathematical Sciences (New York)
3 St. Petersburg Mathematical Journal
3 Mathematical Physics, Analysis and Geometry
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Milan Journal of Mathematics
3 Advances in Difference Equations
3 Nonlinear Analysis. Theory, Methods & Applications
2 Applicable Analysis
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
...and 121 more Serials
all top 5

Cited in 45 Fields

968 Differential geometry (53-XX)
545 Partial differential equations (35-XX)
442 Global analysis, analysis on manifolds (58-XX)
167 Several complex variables and analytic spaces (32-XX)
60 Potential theory (31-XX)
60 Convex and discrete geometry (52-XX)
49 Probability theory and stochastic processes (60-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
39 Relativity and gravitational theory (83-XX)
28 Functions of a complex variable (30-XX)
26 Ordinary differential equations (34-XX)
25 Operator theory (47-XX)
22 Algebraic geometry (14-XX)
19 Combinatorics (05-XX)
18 Manifolds and cell complexes (57-XX)
12 Numerical analysis (65-XX)
11 Quantum theory (81-XX)
10 Functional analysis (46-XX)
8 Number theory (11-XX)
8 Topological groups, Lie groups (22-XX)
8 Real functions (26-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Special functions (33-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Abstract harmonic analysis (43-XX)
5 Statistics (62-XX)
5 Fluid mechanics (76-XX)
5 Optics, electromagnetic theory (78-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Difference and functional equations (39-XX)
4 Mechanics of particles and systems (70-XX)
3 Measure and integration (28-XX)
3 Algebraic topology (55-XX)
3 Mechanics of deformable solids (74-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 Group theory and generalizations (20-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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