Edit Profile (opens in new tab) Huang, Genggeng Co-Author Distance Author ID: huang.genggeng Published as: Huang, Genggeng External Links: ORCID Documents Indexed: 34 Publications since 1985, including 5 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 23 Joint Publications 393 Co-Co-Authors all top 5 Co-Authors 5 single-authored 5 Li, Congming 4 Hong, Jiaxing 3 Cheng, Ze 2 Chen, Haodi 2 Cheng, Tingzhi 2 Han, Xiaosen 2 Lin, Chang-Shou 2 Luxemburg, Leonid A. 2 Niu, Yating 2 Wang, Xu-Jia 2 Zaborszky, John 1 Cannon, Mark 1 Han, Qing 1 Hua, Bobo 1 Kouvaritakis, Basil A. 1 Leung, Tin-Chi 1 Lin, Shin-Yeu 1 Lü, Yingshu 1 Ongsakul, Weerakorn 1 Shen, Weiming 1 Tang, Lan 1 Wang, Jiaxuan 1 Wang, Weiye 1 Xu, XiangHui 1 Yang, Yisong 1 Yin, Ximing 1 Zheng, Baohua all top 5 Serials 5 Journal of Differential Equations 4 Discrete and Continuous Dynamical Systems 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Automatica 1 Indiana University Mathematics Journal 1 SIAM Journal on Numerical Analysis 1 Circuits, Systems, and Signal Processing 1 Chinese Annals of Mathematics. Series B 1 Journal of Parallel and Distributed Computing 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 European Journal of Operational Research 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Science China. Mathematics all top 5 Fields 22 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-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 118 times in 100 Documents Cited by ▼ Year ▼ The maximum principles for fractional Laplacian equations and their applications. Zbl 1373.35330 Cheng, Tingzhi; Huang, Genggeng; Li, Congming 32 2017 Existence of global smooth solutions to Dirichlet problem for degenerate elliptic Monge-Ampere equations. Zbl 1232.35076 Hong, Jiaxing; Huang, Genggeng; Wang, Weiye 11 2011 A Liouville theorem for the subcritical Lane-Emden system. Zbl 1407.35014 Cheng, Ze; Huang, Genggeng 11 2019 On the Hardy-Littlewood-Sobolev type systems. Zbl 1353.35171 Cheng, Ze; Huang, Genggeng; Li, Congming 10 2016 Existence of the maximizing pair for the discrete Hardy-Littlewood-Sobolev inequality. Zbl 1304.26020 Huang, Genggeng; Li, Congming; Yin, Ximing 8 2015 A Liouville theorem of degenerate elliptic equation and its application. Zbl 1279.35054 Huang, Genggeng 8 2013 A Liouville theorem for high order degenerate elliptic equations. Zbl 1314.35055 Huang, Genggeng; Li, Congming 7 2015 The existence of non-topological solutions for a skew-symmetric Chern-Simons system. Zbl 1346.35055 Huang, Genggeng; Lin, Chang-Shou 7 2016 Existence theorems for a general \(2\times 2\) non-abelian Chern-Simons-Higgs system over a torus. Zbl 1369.35019 Han, Xiaosen; Huang, Genggeng 6 2017 Compactness of Alexandrov-Nirenberg surfaces. Zbl 1373.53003 Han, Qing; Hong, Jiaxing; Huang, Genggeng 5 2017 Generalized Morse theory and its applications to control and stability analysis. Zbl 0757.93014 Luxemburg, L. A.; Huang, G. 4 1991 \(L^{p}\) and Hölder estimates for a class of degenerate elliptic partial differential equations and its applications. Zbl 1266.35100 Hong, Jiaxing; Huang, Genggeng 4 2012 Control of reactive power and voltage in emergencies. Zbl 0561.90055 Zaborszky, J.; Huang, G.; Lin, S. Y. 3 1985 A priori bounds for a class of semi-linear degenerate elliptic equations. Zbl 1304.35242 Huang, Genggeng 3 2014 Uniqueness of least energy solutions for Monge-Ampère functional. Zbl 1415.35141 Huang, Genggeng 2 2019 Convergence rate estimates for Aleksandrov’s solution to the Monge-Ampère equation. Zbl 1412.35155 Chen, Haodi; Huang, Genggeng; Wang, Xu-Jia 2 2019 Characterization of equilibrium points on the stability boundary via algebraic topology approach. Zbl 0677.58017 Huang, G.; Luxemburg, L. A. 1 1988 Modelling and optimisation for sustainable development policy assessment. Zbl 1068.90068 Cannon, M.; Kouvaritakis, B.; Huang, G. 1 2005 Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices. Zbl 1317.35234 Huang, Genggeng; Lin, Chang-Shou 1 2015 Existence and regularity of the solutions of some singular Monge-Ampère equations. Zbl 1420.35108 Chen, Haodi; Huang, Genggeng 1 2019 A Liouville theorem for the subcritical Lane-Emden system. Zbl 1407.35014 Cheng, Ze; Huang, Genggeng 11 2019 Uniqueness of least energy solutions for Monge-Ampère functional. Zbl 1415.35141 Huang, Genggeng 2 2019 Convergence rate estimates for Aleksandrov’s solution to the Monge-Ampère equation. Zbl 1412.35155 Chen, Haodi; Huang, Genggeng; Wang, Xu-Jia 2 2019 Existence and regularity of the solutions of some singular Monge-Ampère equations. Zbl 1420.35108 Chen, Haodi; Huang, Genggeng 1 2019 The maximum principles for fractional Laplacian equations and their applications. Zbl 1373.35330 Cheng, Tingzhi; Huang, Genggeng; Li, Congming 32 2017 Existence theorems for a general \(2\times 2\) non-abelian Chern-Simons-Higgs system over a torus. Zbl 1369.35019 Han, Xiaosen; Huang, Genggeng 6 2017 Compactness of Alexandrov-Nirenberg surfaces. Zbl 1373.53003 Han, Qing; Hong, Jiaxing; Huang, Genggeng 5 2017 On the Hardy-Littlewood-Sobolev type systems. Zbl 1353.35171 Cheng, Ze; Huang, Genggeng; Li, Congming 10 2016 The existence of non-topological solutions for a skew-symmetric Chern-Simons system. Zbl 1346.35055 Huang, Genggeng; Lin, Chang-Shou 7 2016 Existence of the maximizing pair for the discrete Hardy-Littlewood-Sobolev inequality. Zbl 1304.26020 Huang, Genggeng; Li, Congming; Yin, Ximing 8 2015 A Liouville theorem for high order degenerate elliptic equations. Zbl 1314.35055 Huang, Genggeng; Li, Congming 7 2015 Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices. Zbl 1317.35234 Huang, Genggeng; Lin, Chang-Shou 1 2015 A priori bounds for a class of semi-linear degenerate elliptic equations. Zbl 1304.35242 Huang, Genggeng 3 2014 A Liouville theorem of degenerate elliptic equation and its application. Zbl 1279.35054 Huang, Genggeng 8 2013 \(L^{p}\) and Hölder estimates for a class of degenerate elliptic partial differential equations and its applications. Zbl 1266.35100 Hong, Jiaxing; Huang, Genggeng 4 2012 Existence of global smooth solutions to Dirichlet problem for degenerate elliptic Monge-Ampere equations. Zbl 1232.35076 Hong, Jiaxing; Huang, Genggeng; Wang, Weiye 11 2011 Modelling and optimisation for sustainable development policy assessment. Zbl 1068.90068 Cannon, M.; Kouvaritakis, B.; Huang, G. 1 2005 Generalized Morse theory and its applications to control and stability analysis. Zbl 0757.93014 Luxemburg, L. A.; Huang, G. 4 1991 Characterization of equilibrium points on the stability boundary via algebraic topology approach. Zbl 0677.58017 Huang, G.; Luxemburg, L. A. 1 1988 Control of reactive power and voltage in emergencies. Zbl 0561.90055 Zaborszky, J.; Huang, G.; Lin, S. Y. 3 1985 all cited Publications top 5 cited Publications all top 5 Cited by 130 Authors 11 Huang, Genggeng 7 Li, Congming 5 Duong, Anh Tuan 5 Huang, Hsin-Yuan 5 Lee, Youngae 4 Phan, Quoc Hung 4 Wang, Pengyan 3 Guo, Yuxia 3 Han, Xiaosen 3 Moon, Sang-Hyuck 3 Wu, Zhigang 2 Cheng, Ze 2 Deng, Shengbing 2 Han, Qing 2 Hong, Jiaxing 2 Kim, Seunghyeok 2 Kirane, Mokhtar 2 Le, Nam Q. 2 Lei, Yutian 2 Li, Ping 2 Lin, Chang-Shou 2 Lü, Yingshu 2 Niu, Pengcheng 2 Niu, Yating 2 Peng, Shaolong 2 Qu, Meng 2 Shi, Shujun 2 Tang, Ting 2 Tian, Xingliang 2 Torebek, Berikbol Tillabayuly 2 Wang, Qi 2 Wu, Jiayan 2 Xu, Hao 2 Yang, Liu 2 Zeng, Fanqi 2 Zhuo, Ran 1 Ascione, Giacomo 1 Astashova, Irina Viktorovna 1 Berman, Robert J. 1 Chen, Chih-Her 1 Chen, ChuanQiang 1 Chen, Wenxiong 1 Chen, Yazhou 1 Chen, Zhiyou 1 Cheng, Tingzhi 1 Chern, Jann-Long 1 Dai, Wei 1 Degtyarev, Sergeĭ Petrovich 1 Diblík, Josef 1 Dou, Jingbo 1 Du, Kai 1 Feng, Haiyu 1 Feng, Jing 1 Grossi, Massimo 1 Guan, Tingting 1 Gui, Changfeng 1 Guo, Wei 1 Han, Haiyan 1 He, Xiaoming 1 Hong, Hakho 1 Hu, Yeyao 1 Hu, Yunyun 1 Hua, Bobo 1 Jin, Sangdon 1 Kao, Hsien-Chung 1 Kim, Soojung 1 Korobko, Evgeniya 1 Kuo, Ting-Jung 1 Le, Phuong Quynh 1 Li, Jing 1 Li, Qirui 1 Li, Ruowei 1 Li, Wenmin 1 Li, Yayun 1 Liao, Tianyu 1 Lieberman, Gary M. 1 Liu, Chenkai 1 Liu, Ting 1 Liu, Yang 1 Lörinczi, József 1 Lü, Zhongxue 1 Lucia, Marcello 1 Luo, Linfeng 1 Ma, Xi-Nan 1 Molina, Sandra Monica 1 Ngô Quốc Anh 1 Nguyen Nhu Thang 1 Nguyễn Văn Hoàng 1 Nie, Jianjun 1 Pham, Duc Hiep 1 Qin, Guolin 1 Qiu, Weifeng 1 Rahal, Belgacem 1 Salort, Ariel Martin 1 Savin, Ovidiu V. 1 Sen, Abhrojyoti 1 Shang, Bin 1 Shi, Xiaoding 1 Sweers, Guido H. 1 Tan, Zhong ...and 30 more Authors all top 5 Cited in 49 Serials 9 Discrete and Continuous Dynamical Systems 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Differential Equations 5 Communications on Pure and Applied Analysis 4 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Science China. Mathematics 2 Nonlinearity 2 Advances in Mathematics 2 Journal of the Korean Mathematical Society 2 Pacific Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 Bulletin of the Iranian Mathematical Society 2 Calculus of Variations and Partial Differential Equations 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Nonlinear Studies 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Complex Variables and Elliptic Equations 2 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Inventiones Mathematicae 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 Foundations of Computational Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Annals of Functional Analysis 1 Open Mathematics 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics all top 5 Cited in 19 Fields 91 Partial differential equations (35-XX) 5 Real functions (26-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year