Edit Profile (opens in new tab) Chen, Shibing Co-Author Distance Author ID: chen.shibing Published as: Chen, Shibing; Chen, S. External Links: ORCID Documents Indexed: 33 Publications since 1993, including 8 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 27 Joint Publications 742 Co-Co-Authors all top 5 Co-Authors 6 single-authored 11 Liu, Jiakun 7 Wang, Xu-Jia 6 Li, Qirui 3 Figalli, Alessio 2 Feng, Yibin 2 Huang, Yong 2 Li, Yuanyuan 2 Liu, Weiru 2 Zhu, Guangxian 1 Andriyanova, Èlina Radikovna 1 Chen, Haodi 1 Frank, Rupert L. 1 Hu, Shengnan 1 Indrei, Emanuel 1 Ma, Xiang 1 Wang, Shengyang 1 Wang, Xianduo 1 Weth, Tobias 1 Zhou, Bin all top 5 Serials 5 Advances in Mathematics 3 Journal of Differential Equations 2 Analysis & PDE 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Automatic Control 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Advanced Nonlinear Studies 1 Science China. Mathematics all top 5 Fields 18 Partial differential equations (35-XX) 8 Convex and discrete geometry (52-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 246 times in 176 Documents Cited by ▼ Year ▼ On the \(L_{p}\) Monge-Ampère equation. Zbl 1388.35047 Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian 44 2017 The logarithmic Minkowski problem for non-symmetric measures. Zbl 1406.52018 Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian 44 2019 Remainder terms in the fractional Sobolev inequality. Zbl 1296.46032 Chen, Shibing; Frank, Rupert L.; Weth, Tobias 39 2013 On the planar dual Minkowski problem. Zbl 1397.52002 Chen, Shibing; Li, Qi-Rui 23 2018 The \(L_p\)-Brunn-Minkowski inequality for \(p<1\). Zbl 1440.52013 Chen, Shibing; Huang, Yong; Li, Qi-Rui; Liu, Jiakun 22 2020 A new family of sharp conformally invariant integral inequalities. Zbl 1296.26064 Chen, Shibing 18 2014 Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047 Chen, Haodi; Chen, Shibing; Li, Qi-Rui 13 2021 Boundary \(\varepsilon\)-regularity in optimal transportation. Zbl 1307.49045 Chen, Shibing; Figalli, Alessio 7 2015 Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w. Zbl 1366.49055 Chen, Shibing; Wang, Xu-Jia 6 2016 Partial \(W^{2,p}\) regularity for optimal transport maps. Zbl 1364.35058 Chen, Shibing; Figalli, Alessio 5 2017 Global regularity for the Monge-Ampère equation with natural boundary condition. Zbl 1487.35214 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 5 2021 The robust optimal control of uncertain systems. – State space method. Zbl 0783.93023 Chen, S. B. 4 1993 Classifying convex compact ancient solutions to the affine curve shortening flow. Zbl 1318.53070 Chen, Shibing 4 2015 On the regularity of the free boundary in the optimal partial transport problem for general cost functions. Zbl 1311.49113 Chen, S.; Indrei, E. 3 2015 Stability results on the smoothness of optimal transport maps with general costs. Zbl 1406.35120 Chen, Shibing; Figalli, Alessio 3 2016 Global regularity of optimal mappings in non-convex domains. Zbl 1427.35090 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 3 2019 Boundary \(C^{1,\alpha}\) regularity of an optimal transport problem with cost close to \(-x\cdot y\). Zbl 1325.35046 Chen, Shibing 2 2015 Boundary \(C^{1, \alpha}\) regularity of potential functions in optimal transportation with quadratic cost. Zbl 1350.35049 Andriyanova, Elina; Chen, Shibing 2 2016 Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\). Zbl 1509.52006 Chen, Shibing; Feng, Yibin; Liu, Weiru 2 2022 Convex solutions to the power-of-mean curvature flow. Zbl 1325.35045 Chen, Shibing 1 2015 Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\). Zbl 1509.52006 Chen, Shibing; Feng, Yibin; Liu, Weiru 2 2022 Variations of a class of Monge-Ampère-type functionals and their applications. Zbl 1468.35047 Chen, Haodi; Chen, Shibing; Li, Qi-Rui 13 2021 Global regularity for the Monge-Ampère equation with natural boundary condition. Zbl 1487.35214 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 5 2021 The \(L_p\)-Brunn-Minkowski inequality for \(p<1\). Zbl 1440.52013 Chen, Shibing; Huang, Yong; Li, Qi-Rui; Liu, Jiakun 22 2020 The logarithmic Minkowski problem for non-symmetric measures. Zbl 1406.52018 Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian 44 2019 Global regularity of optimal mappings in non-convex domains. Zbl 1427.35090 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 3 2019 On the planar dual Minkowski problem. Zbl 1397.52002 Chen, Shibing; Li, Qi-Rui 23 2018 On the \(L_{p}\) Monge-Ampère equation. Zbl 1388.35047 Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian 44 2017 Partial \(W^{2,p}\) regularity for optimal transport maps. Zbl 1364.35058 Chen, Shibing; Figalli, Alessio 5 2017 Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w. Zbl 1366.49055 Chen, Shibing; Wang, Xu-Jia 6 2016 Stability results on the smoothness of optimal transport maps with general costs. Zbl 1406.35120 Chen, Shibing; Figalli, Alessio 3 2016 Boundary \(C^{1, \alpha}\) regularity of potential functions in optimal transportation with quadratic cost. Zbl 1350.35049 Andriyanova, Elina; Chen, Shibing 2 2016 Boundary \(\varepsilon\)-regularity in optimal transportation. Zbl 1307.49045 Chen, Shibing; Figalli, Alessio 7 2015 Classifying convex compact ancient solutions to the affine curve shortening flow. Zbl 1318.53070 Chen, Shibing 4 2015 On the regularity of the free boundary in the optimal partial transport problem for general cost functions. Zbl 1311.49113 Chen, S.; Indrei, E. 3 2015 Boundary \(C^{1,\alpha}\) regularity of an optimal transport problem with cost close to \(-x\cdot y\). Zbl 1325.35046 Chen, Shibing 2 2015 Convex solutions to the power-of-mean curvature flow. Zbl 1325.35045 Chen, Shibing 1 2015 A new family of sharp conformally invariant integral inequalities. Zbl 1296.26064 Chen, Shibing 18 2014 Remainder terms in the fractional Sobolev inequality. Zbl 1296.46032 Chen, Shibing; Frank, Rupert L.; Weth, Tobias 39 2013 The robust optimal control of uncertain systems. – State space method. Zbl 0783.93023 Chen, S. B. 4 1993 all cited Publications top 5 cited Publications all top 5 Cited by 234 Authors 12 Chen, Shibing 8 Böröczky, Karoly jun. 8 Li, Qirui 7 Liu, Jiakun 6 Wang, Xu-Jia 6 Xiong, Ge 5 Dou, Jingbo 5 Feng, Yibin 5 Figalli, Alessio 5 Frank, Rupert L. 4 Alberico, Angela 4 Cianchi, Andrea 4 Colesanti, Andrea 4 Hu, Yunyun 4 Huang, Yong 4 Pick, Luboš 4 Slavíková, Lenka 4 Wu, Di 4 Xiang, Ni 3 Bianchi, Gabriele 3 Chen, Li 3 Chen, Zhengmao 3 Deng, Shengbing 3 Hu, Shengnan 3 Ivaki, Mohammad N. 3 Jiang, Yongsheng 3 Kolesnikov, Alexander V. 3 König, Tobias 3 Liu, Weiru 3 Lu, Jian 3 Rankin, Cale 3 Tian, Xingliang 3 Wang, Hejun 3 Xiong, Jiawei 3 Ye, Deping 3 Yi, Caihong 3 Zhang, An 3 Zhao, Yiming 3 Zhu, Meijun 2 Chen, Haodi 2 Chen, Wei 2 Gu, Xianfeng 2 Guang, Qiang 2 Guo, Yang 2 Henk, Martin 2 Igbida, Noureddine 2 Jhaveri, Yash 2 Lei, Na 2 Li, Ni 2 Liu, Jiaqian 2 Liu, Yannan 2 Livshyts, Galyna V. 2 Lu, Guozhen 2 Luo, Zhongxuan 2 Neumayer, Robin 2 Nguyen, Van Thanh 2 Osękowski, Adam 2 Roncoroni, Alberto 2 Ruzhansky, Michael V. 2 Sheng, Weimin 2 Sun, Liming 2 Sun, Qiang 2 Suragan, Durvudkhan 2 Tang, Hanli 2 Tao, Chunxia 2 Tu, Qiang 2 Wang, Zhengping 2 Wu, Yonghong 2 Xi, Dongmeng 2 Xing, Sudan 2 Xu, Lu 2 Yang, Deane 2 Yang, Qiaohua 2 Yang, Yunlong 2 Zhao, Tong 2 Zhou, Jiazu 2 Zhou, Yanping 2 Zhu, Baocheng 1 Abedin, Farhan 1 Ahmadi Javid, Amir 1 Andriyanova, Èlina Radikovna 1 Artstein-Avidan, Shiri 1 Bañuelos, Rodrigo 1 Bartels, Sören 1 Barthe, Franck 1 Bez, Neal 1 Bhowmik, Mithun 1 Bianchini, Chiara 1 Bley, Gonzalo A. 1 Bourni, Theodora 1 Bryan, Paul 1 Carlen, Eric Anders 1 Cazacu, Cristian M. 1 Chen, Bin 1 Chen, ChuanQiang 1 Chen, Lu 1 Cheng, Zhibo 1 Choi, Kyeongsu 1 Clutterbuck, Julie 1 Cui, Jingshi ...and 134 more Authors all top 5 Cited in 66 Serials 17 Advances in Mathematics 16 Journal of Functional Analysis 13 Calculus of Variations and Partial Differential Equations 10 The Journal of Geometric Analysis 8 Proceedings of the American Mathematical Society 7 Journal of Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Advances in Applied Mathematics 6 Science China. Mathematics 5 Transactions of the American Mathematical Society 5 Advanced Nonlinear Studies 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematische Annalen 3 SIAM Journal on Mathematical Analysis 2 Bulletin of the London Mathematical Society 2 International Journal of Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Function Spaces 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Studia Mathematica 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Discrete Mathematics 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Computational Mathematics and Mathematical Physics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Inequalities & Applications 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Analysis and Geometry in Metric Spaces 1 Open Mathematics 1 Séminaire Laurent Schwartz. EDP et Applications 1 Transactions of the American Mathematical Society. Series B 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 30 Fields 88 Partial differential equations (35-XX) 79 Convex and discrete geometry (52-XX) 22 Differential geometry (53-XX) 19 Functional analysis (46-XX) 17 Real functions (26-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 12 Integral equations (45-XX) 8 Measure and integration (28-XX) 7 Potential theory (31-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Abstract harmonic analysis (43-XX) 5 Probability theory and stochastic processes (60-XX) 4 Topological groups, Lie groups (22-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) Citations by Year