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Author ID: guan.bo Recent zbMATH articles by "Guan, Bo"
Published as: Guan, Bo
Homepage: https://people.math.osu.edu/guan.19/
External Links: MGP · Google Scholar
Documents Indexed: 48 Publications since 1986, including 3 Additional arXiv Preprints
Reviewing Activity: 1 Review
Co-Authors: 18 Co-Authors with 25 Joint Publications
603 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 908 times in 547 Documents Cited by Year
Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1296.58012
Guan, Bo
73
2014
Convex hypersurfaces of prescribed curvatures. Zbl 1025.53028
Guan, Bo; Guan, Pengfei
70
2002
Complex Monge-Ampère equations and totally real submanifolds. Zbl 1206.58007
Guan, Bo; Li, Qun
63
2010
The Dirichlet problem for Hessian equations on Riemannian manifolds. Zbl 0981.58020
Guan, Bo
56
1999
Liouville property and regularity of a Hessian quotient equation. Zbl 1114.35067
Bao, Jiguang; Chen, Jingyi; Guan, Bo; Ji, Min
49
2003
The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function. Zbl 0923.31005
Guan, Bo
49
1998
The Monge-Ampère equation with infinite boundary value. Zbl 1126.35318
Guan, Bo; Jian, Huai-Yu
47
2004
Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature. Zbl 0840.53046
Guan, Bo; Spruck, Joel
47
1993
The Dirichlet problem for a class of fully nonlinear elliptic equations. Zbl 0796.35045
Guan, Bo
44
1994
The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature. Zbl 0919.35046
Guan, Bo
38
1998
Hypersurfaces of constant mean curvatures in hyperbolic space with prescribed asymptotic boundary at infinity. Zbl 0990.53055
Guan, Bo; Spruck, Joel
31
2000
Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1328.58014
Guan, Bo; Jiao, Heming
28
2015
Mean curvature motion of nonparametric hypersurfaces with contact angle condition. Zbl 0870.35048
Guan, Bo
28
1996
On a class of fully nonlinear elliptic equations on Hermitian manifolds. Zbl 1326.32054
Guan, Bo; Sun, Wei
27
2015
Locally convex hypersurfaces of constant curvature with boundary. Zbl 1066.53109
Guan, Bo; Spruck, Joel
24
2004
The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. Zbl 1070.58013
Guan, Bo; Spruck, Joel
23
2002
Conformal metrics with prescribed curvature functions on manifolds with boundary. Zbl 1130.53026
Guan, Bo
18
2007
Complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1160.53018
Guan, Bo
17
2008
Hypersurfaces of constant curvature in hyperbolic space. I. Zbl 1184.53066
Guan, Bo; Spruck, Joel; Szapiel, Marek
16
2009
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
16
2006
The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds. Zbl 1286.58014
Guan, Bo; Li, Qun
14
2013
The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds. Zbl 1323.58014
Guan, Bo; Jiao, Heming
13
2016
On estimates for fully nonlinear parabolic equations on Riemannian manifolds. Zbl 1323.35075
Guan, Bo; Shi, Shujun; Sui, Zhenan
13
2015
Hypersurfaces of constant curvature in hyperbolic space II. Zbl 1197.53066
Guan, Bo; Spruck, Joel
13
2010
A Monge-Ampère type fully nonlinear equation on Hermitian manifolds. Zbl 1254.32055
Guan, Bo; Li, Qun
12
2012
Monge-Ampère equations on Riemannian manifolds. Zbl 0866.58067
Guan, Bo; Li, YanYan
12
1996
The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1517.35106
Guan, Bo
12
2023
Interior curvature estimates and the asymptotic Plateau problem in hyperbolic space. Zbl 1287.53051
Guan, Bo; Spruck, Joel; Xiao, Ling
10
2014
On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary. Zbl 0833.35037
Guan, Bo
9
1995
Convex hypersurfaces of constant curvature in hyperbolic space. Zbl 1268.53065
Guan, Bo; Spruck, Joel
9
2011
Interior gradient estimates for solutions of prescribed curvature equations of parabolic type. Zbl 0772.35026
Guan, Bo; Spruck, Joel
8
1991
Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition. Zbl 0923.35080
Guan, Bo
6
1999
A correction to “The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function”. Zbl 0949.32014
Guan, Bo
6
2000
Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms. Zbl 1408.35039
Guan, Bo; Qiu, Chunhui; Yuan, Rirong
5
2019
Addendum to: complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1189.53034
Guan, Bo
4
2009
On the regularity of the pluricomplex Green functions. Zbl 1134.32012
Guan, Bo
4
2007
The Dirichlet problem for complex Monge-Ampère equations and applications. Zbl 1206.32017
Guan, Bo
3
2010
Corrigendum: Convex hypersurfaces of prescribed curvature. Zbl 1044.53509
Guan, Bo; Guan, Pengfei
2
2003
Isometric embedding of negatively curved disks in the Minkowski space. Zbl 1154.53030
Guan, Bo
1
2007
The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1517.35106
Guan, Bo
12
2023
Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms. Zbl 1408.35039
Guan, Bo; Qiu, Chunhui; Yuan, Rirong
5
2019
The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds. Zbl 1323.58014
Guan, Bo; Jiao, Heming
13
2016
Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1328.58014
Guan, Bo; Jiao, Heming
28
2015
On a class of fully nonlinear elliptic equations on Hermitian manifolds. Zbl 1326.32054
Guan, Bo; Sun, Wei
27
2015
On estimates for fully nonlinear parabolic equations on Riemannian manifolds. Zbl 1323.35075
Guan, Bo; Shi, Shujun; Sui, Zhenan
13
2015
Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1296.58012
Guan, Bo
73
2014
Interior curvature estimates and the asymptotic Plateau problem in hyperbolic space. Zbl 1287.53051
Guan, Bo; Spruck, Joel; Xiao, Ling
10
2014
The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds. Zbl 1286.58014
Guan, Bo; Li, Qun
14
2013
A Monge-Ampère type fully nonlinear equation on Hermitian manifolds. Zbl 1254.32055
Guan, Bo; Li, Qun
12
2012
Convex hypersurfaces of constant curvature in hyperbolic space. Zbl 1268.53065
Guan, Bo; Spruck, Joel
9
2011
Complex Monge-Ampère equations and totally real submanifolds. Zbl 1206.58007
Guan, Bo; Li, Qun
63
2010
Hypersurfaces of constant curvature in hyperbolic space II. Zbl 1197.53066
Guan, Bo; Spruck, Joel
13
2010
The Dirichlet problem for complex Monge-Ampère equations and applications. Zbl 1206.32017
Guan, Bo
3
2010
Hypersurfaces of constant curvature in hyperbolic space. I. Zbl 1184.53066
Guan, Bo; Spruck, Joel; Szapiel, Marek
16
2009
Addendum to: complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1189.53034
Guan, Bo
4
2009
Complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1160.53018
Guan, Bo
17
2008
Conformal metrics with prescribed curvature functions on manifolds with boundary. Zbl 1130.53026
Guan, Bo
18
2007
On the regularity of the pluricomplex Green functions. Zbl 1134.32012
Guan, Bo
4
2007
Isometric embedding of negatively curved disks in the Minkowski space. Zbl 1154.53030
Guan, Bo
1
2007
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
16
2006
The Monge-Ampère equation with infinite boundary value. Zbl 1126.35318
Guan, Bo; Jian, Huai-Yu
47
2004
Locally convex hypersurfaces of constant curvature with boundary. Zbl 1066.53109
Guan, Bo; Spruck, Joel
24
2004
Liouville property and regularity of a Hessian quotient equation. Zbl 1114.35067
Bao, Jiguang; Chen, Jingyi; Guan, Bo; Ji, Min
49
2003
Corrigendum: Convex hypersurfaces of prescribed curvature. Zbl 1044.53509
Guan, Bo; Guan, Pengfei
2
2003
Convex hypersurfaces of prescribed curvatures. Zbl 1025.53028
Guan, Bo; Guan, Pengfei
70
2002
The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. Zbl 1070.58013
Guan, Bo; Spruck, Joel
23
2002
Hypersurfaces of constant mean curvatures in hyperbolic space with prescribed asymptotic boundary at infinity. Zbl 0990.53055
Guan, Bo; Spruck, Joel
31
2000
A correction to “The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function”. Zbl 0949.32014
Guan, Bo
6
2000
The Dirichlet problem for Hessian equations on Riemannian manifolds. Zbl 0981.58020
Guan, Bo
56
1999
Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition. Zbl 0923.35080
Guan, Bo
6
1999
The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function. Zbl 0923.31005
Guan, Bo
49
1998
The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature. Zbl 0919.35046
Guan, Bo
38
1998
Mean curvature motion of nonparametric hypersurfaces with contact angle condition. Zbl 0870.35048
Guan, Bo
28
1996
Monge-Ampère equations on Riemannian manifolds. Zbl 0866.58067
Guan, Bo; Li, YanYan
12
1996
On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary. Zbl 0833.35037
Guan, Bo
9
1995
The Dirichlet problem for a class of fully nonlinear elliptic equations. Zbl 0796.35045
Guan, Bo
44
1994
Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature. Zbl 0840.53046
Guan, Bo; Spruck, Joel
47
1993
Interior gradient estimates for solutions of prescribed curvature equations of parabolic type. Zbl 0772.35026
Guan, Bo; Spruck, Joel
8
1991
all top 5

Cited by 482 Authors

16 Feng, Meiqiang
16 Zhang, Xuemei
15 Wang, Zhizhang
14 Bao, Jiguang
13 Jiao, Heming
13 Xiang, Ni
12 Chu, Jianchun
12 Guan, Bo
10 Dong, Weisong
10 Tosatti, Valentino
10 Weinkove, Ben
9 Guan, Pengfei
9 Trudinger, Neil Sidney
8 Jiang, Feida
8 Phong, Duong Hong
8 Takimoto, Kazuhiro
8 Zhang, Jiaogen
7 Bueno, Antonio
7 Gálvez, Jose Antonio
7 Jian, Huai-Yu
7 Mohammed, Ahmed
7 Ren, Changyu
7 Tu, Qiang
7 Wang, Xu-Jia
7 Yuan, Yu
6 Dai, Guowei
6 Dai, Limei
6 Huang, Yong
6 Sui, Zhenan
6 Sun, Wei
6 Xu, Jinju
6 Zhang, Zhijun
6 Zhou, Jundong
5 Chen, Zhengmao
5 Dinew, Sławomir
5 Ma, Xi-Nan
5 Mao, Jing
5 Picard, Sebastien
5 Wu, Yonghong
5 Yang, Xiaoping
5 Zhang, Dekai
5 Zhang, Xi
5 Zhang, Xiangwen
5 Zhu, Guangxian
4 Błocki, Zbigniew
4 Böröczky, Karoly jun.
4 Chen, Li
4 Gao, Ya
4 Ghomi, Mohammad
4 Guedj, Vincent
4 Li, Chang
4 Li, Dongsheng
4 Li, YanYan
4 Lu, Chinh Hoang
4 Neilan, Michael
4 Nguyen, Luc
4 Ortiz, Irene
4 Ripoll, Jaime Bruck
4 Sheng, Weimin
4 Spruck, Joel
4 Tian, Guji
4 Wang, Guotao
4 Wiwatanapataphee, Benchawan
4 Yang, Deane
4 Zhang, Lihong
4 Zhang, Xinguang
3 Bao, Gejun
3 Bayard, Pierre
3 Bonsante, Francesco
3 Castéras, Jean-baptiste
3 Chen, ChuanQiang
3 Chen, Xiaojuan
3 Colesanti, Andrea
3 Collins, Tristan Clifford
3 Coskunuzer, Baris
3 Do, Hoang Son
3 Duncan, Jonah A. J.
3 Feng, Xiaobing
3 Gao, Chenghua
3 He, Xingyue
3 He, Yan
3 Holopainen, Ilkka
3 Huang, Liding
3 Kołodziej, Sławomir
3 Li, Haigang
3 Liu, Zixiao
3 López Camino, Rafael
3 Lou, Bendong
3 Lu, Siyuan
3 Martinez, Antonio Olivas
3 McCleerey, Nicholas
3 Mira, Pablo
3 Nguyen, Ngoc Cuong
3 Qiu, Chunhui
3 Seppi, Andrea
3 Tô, Tat Dat
3 Wan, Haitao
3 Wang, Cong
3 Wei, Wei
3 Wheeler, Valentina-Mira
...and 382 more Authors
all top 5

Cited in 127 Serials

62 Calculus of Variations and Partial Differential Equations
29 Journal of Differential Equations
29 The Journal of Geometric Analysis
28 Advances in Mathematics
27 Proceedings of the American Mathematical Society
26 Journal of Mathematical Analysis and Applications
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Journal of Functional Analysis
16 Transactions of the American Mathematical Society
11 Mathematische Annalen
11 Applied Mathematics Letters
11 Communications on Pure and Applied Analysis
8 Geometriae Dedicata
7 Chinese Annals of Mathematics. Series B
7 Communications in Partial Differential Equations
7 Discrete and Continuous Dynamical Systems
7 Advanced Nonlinear Studies
6 Journal für die Reine und Angewandte Mathematik
6 Mathematische Zeitschrift
6 Acta Mathematica Sinica. English Series
5 Communications on Pure and Applied Mathematics
5 Duke Mathematical Journal
5 International Journal of Mathematics
5 Science China. Mathematics
4 Acta Mathematica
4 Annales de l’Institut Fourier
4 Manuscripta Mathematica
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal of the American Mathematical Society
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Communications in Contemporary Mathematics
4 Analysis & PDE
4 Annals of PDE
3 Communications in Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Indiana University Mathematics Journal
3 Inventiones Mathematicae
3 Journal of Differential Geometry
3 Results in Mathematics
3 Advances in Applied Mathematics
3 Advances in Nonlinear Analysis
2 Archive for Rational Mechanics and Analysis
2 Israel Journal of Mathematics
2 American Journal of Mathematics
2 Mathematische Nachrichten
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Tôhoku Mathematical Journal. Second Series
2 Bulletin of the Korean Mathematical Society
2 Acta Mathematicae Applicatae Sinica. English Series
2 Asymptotic Analysis
2 Journal of Scientific Computing
2 Geometric and Functional Analysis. GAFA
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Potential Analysis
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Analysis in Theory and Applications
2 Complex Variables and Elliptic Equations
2 Frontiers of Mathematics in China
2 Bulletin of Mathematical Sciences
2 Open Mathematics
2 Mathematics in Engineering
2 SN Partial Differential Equations and Applications
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Annales Polonici Mathematici
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Compositio Mathematica
1 Hiroshima Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Annals of Global Analysis and Geometry
1 Revista Matemática Iberoamericana
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Differential Geometry and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Topological Methods in Nonlinear Analysis
1 Applied Mathematics. Series B (English Edition)
1 Electronic Journal of Differential Equations (EJDE)
...and 27 more Serials

Citations by Year