Edit Profile (opens in new tab) Guan, Bo Compute Distance To: Compute Author ID: guan.bo Published as: Guan, Bo Homepage: https://people.math.osu.edu/guan.19/ External Links: MGP · Google Scholar Documents Indexed: 44 Publications since 1986 Reviewing Activity: 1 Review Co-Authors: 18 Co-Authors with 25 Joint Publications 663 Co-Co-Authors all top 5 Co-Authors 19 single-authored 9 Spruck, Joel 3 Li, Qun 2 Guan, Pengfei 2 Jian, Huai-Yu 2 Jiao, Heming 2 Qiu, Chunhui 2 Shi, Shujun 2 Sui, Zhenan 1 Bao, Jiguang 1 Chen, Jingyi 1 George, Mathew 1 Ji, Min 1 Li, YanYan 1 Schoen, Richard Melvin 1 Sun, Wei 1 Szapiel, Marek 1 Xiao, Ling 1 Yuan, Rirong all top 5 Serials 4 Advances in Mathematics 3 American Journal of Mathematics 3 IMRN. International Mathematics Research Notices 3 Calculus of Variations and Partial Differential Equations 3 Annals of Mathematics. Second Series 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 The Journal of Geometric Analysis 2 Communications in Analysis and Geometry 1 Communications on Pure and Applied Mathematics 1 Acta Mathematica Sinica 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Mathematics. Wuhan University 1 Journal of Mathematical Research & Exposition 1 Communications in Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Journal of the European Mathematical Society (JEMS) 1 Discrete and Continuous Dynamical Systems. Series B 1 Pure and Applied Mathematics Quarterly 1 Analysis & PDE 1 Scientia Sinica. Mathematica all top 5 Fields 31 Partial differential equations (35-XX) 23 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 8 Several complex variables and analytic spaces (32-XX) 3 Functional analysis (46-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 740 times in 449 Documents Cited by ▼ Year ▼ Convex hypersurfaces of prescribed curvatures. Zbl 1025.53028Guan, Bo; Guan, Pengfei 54 2002 Complex Monge-Ampère equations and totally real submanifolds. Zbl 1206.58007Guan, Bo; Li, Qun 51 2010 Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1296.58012Guan, Bo 49 2014 The Dirichlet problem for Hessian equations on Riemannian manifolds. Zbl 0981.58020Guan, Bo 43 1999 The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function. Zbl 0923.31005Guan, Bo 42 1998 Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature. Zbl 0840.53046Guan, Bo; Spruck, Joel 42 1993 Liouville property and regularity of a Hessian quotient equation. Zbl 1114.35067Bao, Jiguang; Chen, Jingyi; Guan, Bo; Ji, Min 41 2003 The Monge-Ampère equation with infinite boundary value. Zbl 1126.35318Guan, Bo; Jian, Huai-Yu 37 2004 The Dirichlet problem for a class of fully nonlinear elliptic equations. Zbl 0796.35045Guan, Bo 37 1994 The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature. Zbl 0919.35046Guan, Bo 32 1998 Hypersurfaces of constant mean curvatures in hyperbolic space with prescribed asymptotic boundary at infinity. Zbl 0990.53055Guan, Bo; Spruck, Joel 28 2000 The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. Zbl 1070.58013Guan, Bo; Spruck, Joel 23 2002 Locally convex hypersurfaces of constant curvature with boundary. Zbl 1066.53109Guan, Bo; Spruck, Joel 23 2004 Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1328.58014Guan, Bo; Jiao, Heming 22 2015 Mean curvature motion of nonparametric hypersurfaces with contact angle condition. Zbl 0870.35048Guan, Bo 22 1996 On a class of fully nonlinear elliptic equations on Hermitian manifolds. Zbl 1326.32054Guan, Bo; Sun, Wei 20 2015 Conformal metrics with prescribed curvature functions on manifolds with boundary. Zbl 1130.53026Guan, Bo 15 2007 Hypersurfaces of constant curvature in hyperbolic space. I. Zbl 1184.53066Guan, Bo; Spruck, Joel; Szapiel, Marek 15 2009 The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds. Zbl 1286.58014Guan, Bo; Li, Qun 12 2013 Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040Guan, Bo; Jian, Huai-Yu; Schoen, Richard M. 12 2006 A Monge-Ampère type fully nonlinear equation on Hermitian manifolds. Zbl 1254.32055Guan, Bo; Li, Qun 11 2012 Monge-Ampère equations on Riemannian manifolds. Zbl 0866.58067Guan, Bo; Li, YanYan 11 1996 Complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1160.53018Guan, Bo 11 2008 Hypersurfaces of constant curvature in hyperbolic space II. Zbl 1197.53066Guan, Bo; Spruck, Joel 11 2010 On estimates for fully nonlinear parabolic equations on Riemannian manifolds. Zbl 1323.35075Guan, Bo; Shi, Shujun; Sui, Zhenan 11 2015 The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds. Zbl 1323.58014Guan, Bo; Jiao, Heming 9 2016 Convex hypersurfaces of constant curvature in hyperbolic space. Zbl 1268.53065Guan, Bo; Spruck, Joel 8 2011 On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary. Zbl 0833.35037Guan, Bo 8 1995 Interior curvature estimates and the asymptotic Plateau problem in hyperbolic space. Zbl 1287.53051Guan, Bo; Spruck, Joel; Xiao, Ling 8 2014 Interior gradient estimates for solutions of prescribed curvature equations of parabolic type. Zbl 0772.35026Guan, Bo; Spruck, Joel 7 1991 A correction to “The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function”. Zbl 0949.32014Guan, Bo 6 2000 On the regularity of the pluricomplex Green functions. Zbl 1134.32012Guan, Bo 4 2007 Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms. Zbl 1408.35039Guan, Bo; Qiu, Chunhui; Yuan, Rirong 4 2019 Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition. Zbl 0923.35080Guan, Bo 3 1999 The Dirichlet problem for complex Monge-Ampère equations and applications. Zbl 1206.32017Guan, Bo 3 2010 Addendum to: complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1189.53034Guan, Bo 3 2009 Isometric embedding of negatively curved disks in the Minkowski space. Zbl 1154.53030Guan, Bo 1 2007 Corrigendum: Convex hypersurfaces of prescribed curvature. Zbl 1044.53509Guan, Bo; Guan, Pengfei 1 2003 Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms. Zbl 1408.35039Guan, Bo; Qiu, Chunhui; Yuan, Rirong 4 2019 The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds. Zbl 1323.58014Guan, Bo; Jiao, Heming 9 2016 Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1328.58014Guan, Bo; Jiao, Heming 22 2015 On a class of fully nonlinear elliptic equations on Hermitian manifolds. Zbl 1326.32054Guan, Bo; Sun, Wei 20 2015 On estimates for fully nonlinear parabolic equations on Riemannian manifolds. Zbl 1323.35075Guan, Bo; Shi, Shujun; Sui, Zhenan 11 2015 Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1296.58012Guan, Bo 49 2014 Interior curvature estimates and the asymptotic Plateau problem in hyperbolic space. Zbl 1287.53051Guan, Bo; Spruck, Joel; Xiao, Ling 8 2014 The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds. Zbl 1286.58014Guan, Bo; Li, Qun 12 2013 A Monge-Ampère type fully nonlinear equation on Hermitian manifolds. Zbl 1254.32055Guan, Bo; Li, Qun 11 2012 Convex hypersurfaces of constant curvature in hyperbolic space. Zbl 1268.53065Guan, Bo; Spruck, Joel 8 2011 Complex Monge-Ampère equations and totally real submanifolds. Zbl 1206.58007Guan, Bo; Li, Qun 51 2010 Hypersurfaces of constant curvature in hyperbolic space II. Zbl 1197.53066Guan, Bo; Spruck, Joel 11 2010 The Dirichlet problem for complex Monge-Ampère equations and applications. Zbl 1206.32017Guan, Bo 3 2010 Hypersurfaces of constant curvature in hyperbolic space. I. Zbl 1184.53066Guan, Bo; Spruck, Joel; Szapiel, Marek 15 2009 Addendum to: complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1189.53034Guan, Bo 3 2009 Complete conformal metrics of negative Ricci curvature on compact manifolds with boundary. Zbl 1160.53018Guan, Bo 11 2008 Conformal metrics with prescribed curvature functions on manifolds with boundary. Zbl 1130.53026Guan, Bo 15 2007 On the regularity of the pluricomplex Green functions. Zbl 1134.32012Guan, Bo 4 2007 Isometric embedding of negatively curved disks in the Minkowski space. Zbl 1154.53030Guan, Bo 1 2007 Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040Guan, Bo; Jian, Huai-Yu; Schoen, Richard M. 12 2006 The Monge-Ampère equation with infinite boundary value. Zbl 1126.35318Guan, Bo; Jian, Huai-Yu 37 2004 Locally convex hypersurfaces of constant curvature with boundary. Zbl 1066.53109Guan, Bo; Spruck, Joel 23 2004 Liouville property and regularity of a Hessian quotient equation. Zbl 1114.35067Bao, Jiguang; Chen, Jingyi; Guan, Bo; Ji, Min 41 2003 Corrigendum: Convex hypersurfaces of prescribed curvature. Zbl 1044.53509Guan, Bo; Guan, Pengfei 1 2003 Convex hypersurfaces of prescribed curvatures. Zbl 1025.53028Guan, Bo; Guan, Pengfei 54 2002 The existence of hypersurfaces of constant Gauss curvature with prescribed boundary. Zbl 1070.58013Guan, Bo; Spruck, Joel 23 2002 Hypersurfaces of constant mean curvatures in hyperbolic space with prescribed asymptotic boundary at infinity. Zbl 0990.53055Guan, Bo; Spruck, Joel 28 2000 A correction to “The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function”. Zbl 0949.32014Guan, Bo 6 2000 The Dirichlet problem for Hessian equations on Riemannian manifolds. Zbl 0981.58020Guan, Bo 43 1999 Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition. Zbl 0923.35080Guan, Bo 3 1999 The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function. Zbl 0923.31005Guan, Bo 42 1998 The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature. Zbl 0919.35046Guan, Bo 32 1998 Mean curvature motion of nonparametric hypersurfaces with contact angle condition. Zbl 0870.35048Guan, Bo 22 1996 Monge-Ampère equations on Riemannian manifolds. Zbl 0866.58067Guan, Bo; Li, YanYan 11 1996 On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary. Zbl 0833.35037Guan, Bo 8 1995 The Dirichlet problem for a class of fully nonlinear elliptic equations. Zbl 0796.35045Guan, Bo 37 1994 Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature. Zbl 0840.53046Guan, Bo; Spruck, Joel 42 1993 Interior gradient estimates for solutions of prescribed curvature equations of parabolic type. Zbl 0772.35026Guan, Bo; Spruck, Joel 7 1991 all cited Publications top 5 cited Publications all top 5 Cited by 420 Authors 12 Guan, Bo 12 Jiao, Heming 12 Zhang, Xuemei 11 Bao, Jiguang 11 Chu, Jianchun 11 Feng, Meiqiang 11 Xiang, Ni 10 Tosatti, Valentino 10 Wang, Zhizhang 10 Weinkove, Ben 9 Trudinger, Neil Sidney 8 Dong, Weisong 8 Guan, Pengfei 7 Gálvez, Jose Antonio 7 Jian, Huai-Yu 7 Jiang, Feida 7 Takimoto, Kazuhiro 7 Yuan, Yu 6 Dai, Limei 6 Huang, Yong 6 Mohammed, Ahmed 6 Phong, Duong Hong 6 Sun, Wei 6 Zhang, Jiaogen 6 Zhang, Zhijun 5 Bueno, Antonio 5 Dai, Guowei 5 Ma, Xi-Nan 5 Tu, Qiang 5 Wang, Xu-Jia 5 Yang, Xiaoping 5 Zhang, Xi 5 Zhu, Guangxian 4 Böröczky, Karoly jun. 4 Chen, Li 4 Dinew, Sławomir 4 Ghomi, Mohammad 4 Li, Chang 4 Li, Dongsheng 4 Neilan, Michael 4 Picard, Sebastien 4 Ren, Changyu 4 Ripoll, Jaime Bruck 4 Spruck, Joel 4 Sui, Zhenan 4 Tian, Guji 4 Wei, Wei 4 Xu, Jinju 4 Yang, Deane 4 Zhang, Dekai 4 Zhang, Xiangwen 4 Zhou, Jundong 3 Bao, Gejun 3 Bayard, Pierre 3 Błocki, Zbigniew 3 Bonsante, Francesco 3 Castéras, Jean-baptiste 3 Chen, Zhengmao 3 Colesanti, Andrea 3 Collins, Tristan Clifford 3 Coskunuzer, Baris 3 Feng, Xiaobing 3 Holopainen, Ilkka 3 Kołodziej, Sławomir 3 Li, Haigang 3 Li, YanYan 3 Mao, Jing 3 Mira, Pablo 3 Nguyen, Luc 3 Nguyen, Ngoc Cuong 3 Qiu, Chunhui 3 Seppi, Andrea 3 Tô, Tat Dat 3 Wang, Guotao 3 Wheeler, Valentina-Mira 3 Wu, Yonghong 3 Yang, Zedong 3 Yuan, Rirong 3 Zhang, Gaoyong 3 Zhang, Lihong 2 Alexander, Stephanie B. 2 Băleanu, Dumitru I. 2 Bellettini, Giovanni 2 Bianchi, Gabriele 2 Case, Jeffrey S. 2 Chen, ChuanQiang 2 Chen, Shibing 2 Chen, Szu-yu Sophie 2 Chen, Xiaojuan 2 Chen, Xiuxiong 2 Cui, Jixian 2 de Lira, Jorge Herbert Soares 2 Delanoë, Philippe P. 2 Do Ó, João M. Bezerra 2 Do, Hoang Son 2 Feng, Ke 2 Fillastre, François 2 Gao, Ya 2 Gursky, Matthew J. 2 Han, Qing ...and 320 more Authors all top 5 Cited in 106 Serials 55 Calculus of Variations and Partial Differential Equations 28 Journal of Differential Equations 26 Advances in Mathematics 22 Proceedings of the American Mathematical Society 21 The Journal of Geometric Analysis 20 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Functional Analysis 15 Transactions of the American Mathematical Society 9 Mathematische Annalen 9 Applied Mathematics Letters 8 Geometriae Dedicata 8 Communications on Pure and Applied Analysis 7 Chinese Annals of Mathematics. Series B 7 Communications in Partial Differential Equations 6 Mathematische Zeitschrift 6 Discrete and Continuous Dynamical Systems 5 Duke Mathematical Journal 5 Journal für die Reine und Angewandte Mathematik 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 International Journal of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Acta Mathematica Sinica. English Series 4 Advanced Nonlinear Studies 4 Annals of PDE 3 Communications in Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Inventiones Mathematicae 3 Advances in Applied Mathematics 3 Communications in Contemporary Mathematics 3 Analysis & PDE 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Indiana University Mathematics Journal 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Scientific Computing 2 Potential Analysis 2 Abstract and Applied Analysis 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 Complex Variables and Elliptic Equations 2 Frontiers of Mathematics in China 2 Bulletin of Mathematical Sciences 2 Advances in Nonlinear Analysis 2 Open Mathematics 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Compositio Mathematica 1 Journal of Differential Geometry 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Tôhoku Mathematical Journal. Second Series 1 Asymptotic Analysis 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 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inequalities and Applications 1 Geometry & Topology 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Study 1 Analysis (München) 1 Communications in Nonlinear Science and Numerical Simulation 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Advances in Difference Equations 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications ...and 6 more Serials all top 5 Cited in 22 Fields 310 Partial differential equations (35-XX) 211 Differential geometry (53-XX) 81 Several complex variables and analytic spaces (32-XX) 81 Global analysis, analysis on manifolds (58-XX) 24 Convex and discrete geometry (52-XX) 9 Potential theory (31-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Ordinary differential equations (34-XX) 7 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 4 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year