Edit Profile (opens in new tab) Hong, Jiaxing Co-Author Distance Author ID: hong.jiaxing Published as: Hong, Jiaxing; Hong, Jia-Xing; Hong, J. more...less External Links: MGP Documents Indexed: 55 Publications since 1981, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 19 Co-Authors with 27 Joint Publications 724 Co-Co-Authors all top 5 Co-Authors 29 single-authored 5 Han, Qing 4 Huang, Genggeng 4 Zuily, Claude 3 Lin, Chang-Shou 2 Ge, Molin 2 Gu, Chaohao 2 Li, Tatsien 2 Sun, Longxiang 2 Wang, Weiye 2 Yi, Fahuai 2 Zhang, Weiping 1 Chen, Gui-Qiang G. 1 Chen, Xinfu 1 Li, Chunhe 1 Li, Goquan 1 Liu, C. 1 Liu, Jiaqian 1 Shao, Zhiqiang 1 Tao, Youshan 1 Yang, Ge all top 5 Serials 9 Chinese Annals of Mathematics. Series B 5 Journal of Partial Differential Equations 3 Journal of Fudan University. Natural Science 3 Communications in Partial Differential Equations 2 Acta Mathematica Sinica 2 Mathematische Zeitschrift 2 Fudan Journal. (Natural Science) 1 Communications on Pure and Applied Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics 1 Northeastern Mathematical Journal 1 Science in China. Series A 1 IMRN. International Mathematics Research Notices 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Acta Mathematica Sinica. New Series 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 Séminaire Équations aux Dérivées Partielles 1 Discrete and Continuous Dynamical Systems 1 The Asian Journal of Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mathematical Surveys and Monographs 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 43 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 260 times in 203 Documents Cited by ▼ Year ▼ Isometric embedding of Riemannian manifolds in Euclidean spaces. Zbl 1113.53002 Han, Qing; Hong, Jia-Xing 60 2006 Existence, uniqueness, and regularity of classical solutions of the Mullins-Sekerka problem. Zbl 0884.35177 Chen, Xinfu; Hong, Jiaxing; Yi, Fahuai 32 1996 Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\). Zbl 0833.53049 Hong, J.; Zuily, C. 25 1995 Realization in \(\mathbb{R}^ 3\) of complete Riemannian manifolds with negative curvature. Zbl 0856.53004 Hong, Jiaxing 16 1993 Local isometric embedding of surfaces with nonpositive Gaussian curvature. Zbl 1070.53034 Han, Qing; Hong, Jia-Xing; Lin, Chang-Shou 14 2003 Existence of \(C^{\infty}\) local solutions for the Monge-Ampère equation. Zbl 0648.35016 Hong, Jiaxing; Zuily, Claude 12 1987 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 Muskat problem with surface tension. Zbl 0884.35176 Hong, Jiaxing; Tao, Youshan; Yi, Fahuai 10 1997 \(L^ p\) and Hölder estimates for a class of degenerate elliptic boundary value problems. Application to the Monge-Ampère equation. Zbl 0742.35009 Hong, Jiaxing; Zuily, Claude 9 1991 Dirichlet problems for general Monge-Ampère equations. Zbl 0771.35020 Hong, Jiaxing 8 1992 Darboux equations and isometric embedding of Riemannian manifolds with nonnegative curvature in \(\mathbb{R}^3\). Zbl 0930.35063 Hong, Jiaxing 7 1999 The global smooth solutions of Cauchy problems for hyperbolic equation of Monge-Ampère type. Zbl 0830.35082 Hong, Jiaxing 7 1995 On the Cauchy problem of degenerate hyperbolic equations. Zbl 1092.35069 Han, Qing; Hong, Jia-Xing; Lin, Chang-Shou 7 2006 \(L^ p\) estimates for a class of integral operators. Zbl 0869.35044 Hong, Jiaxing; Li, Goquan 7 1996 The estimates near the boundary for solutions of Monge-Ampère equations. Zbl 0824.35035 Hong, Jiaxing 5 1994 Compactness of Alexandrov-Nirenberg surfaces. Zbl 1373.53003 Han, Qing; Hong, Jiaxing; Huang, Genggeng 5 2017 \(L^{p}\) and Hölder estimates for a class of degenerate elliptic partial differential equations and its applications. Zbl 1266.35100 Hong, Jiaxing; Huang, Genggeng 4 2012 On the regularity of solutions to FENE models. Zbl 1276.35046 Hong, Jiaxing; Yang, Ge 3 2013 Surface in \(R^ 3\) with prescribed Gauss curvature. Zbl 0636.53004 Hong, Jiaxing 2 1987 BVPs for differential operators with characteristic degenerate surfaces. Zbl 0559.35054 Hong, Jiaxing 2 1984 The eigenvalue problem for the Laplacian equations. Zbl 1125.35070 Shao, Zhiqiang; Hong, Jiaxing 2 2007 Some new developments of realization of surfaces into \(R^3\). Zbl 1017.53004 Hong, Jiaxing 2 2002 The regularity of a class of degenerate elliptic Monge-Ampère equations. Zbl 1212.35167 Hong, Jiaxing; Wang, Weiye 2 2009 \(L^ 2\)-hypoellipticity for a class of operators of mixed type. Zbl 0664.35060 Hong, Jiaxing 1 1988 On boundary value problems for mixed equations with characteristic degenerate surfaces. Zbl 0486.35055 Hong, Jiaxing 1 1981 Some developments of the theory of mixed PDEs. Zbl 0833.35098 Gu, Chaohao; Hong, Jiaxing 1 1994 Foreword. Zbl 1154.01314 Chen, Gui-Qiang; Hong, Jiaxing 1 2009 Isometric embedding in \(R^3\) of complete noncompact nonnegatively curved surfaces. Zbl 0894.53050 Hong, Jiaxing 1 1997 Cauchy problems for degenerate hyperbolic Monge-Ampère equations and some applications. Zbl 0753.35055 Hong, Jiaxing 1 1991 Dirichlet problems for Monge-Ampère equation degenerate on boundary. Zbl 0757.35020 Hong, Jiaxing 1 1991 Small divisors in nonlinear elliptic equations. Zbl 1030.35007 Han, Qing; Hong, Jiaxing; Lin, Changshou 1 2003 Compactness of Alexandrov-Nirenberg surfaces. Zbl 1373.53003 Han, Qing; Hong, Jiaxing; Huang, Genggeng 5 2017 On the regularity of solutions to FENE models. Zbl 1276.35046 Hong, Jiaxing; Yang, Ge 3 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 The regularity of a class of degenerate elliptic Monge-Ampère equations. Zbl 1212.35167 Hong, Jiaxing; Wang, Weiye 2 2009 Foreword. Zbl 1154.01314 Chen, Gui-Qiang; Hong, Jiaxing 1 2009 The eigenvalue problem for the Laplacian equations. Zbl 1125.35070 Shao, Zhiqiang; Hong, Jiaxing 2 2007 Isometric embedding of Riemannian manifolds in Euclidean spaces. Zbl 1113.53002 Han, Qing; Hong, Jia-Xing 60 2006 On the Cauchy problem of degenerate hyperbolic equations. Zbl 1092.35069 Han, Qing; Hong, Jia-Xing; Lin, Chang-Shou 7 2006 Local isometric embedding of surfaces with nonpositive Gaussian curvature. Zbl 1070.53034 Han, Qing; Hong, Jia-Xing; Lin, Chang-Shou 14 2003 Small divisors in nonlinear elliptic equations. Zbl 1030.35007 Han, Qing; Hong, Jiaxing; Lin, Changshou 1 2003 Some new developments of realization of surfaces into \(R^3\). Zbl 1017.53004 Hong, Jiaxing 2 2002 Darboux equations and isometric embedding of Riemannian manifolds with nonnegative curvature in \(\mathbb{R}^3\). Zbl 0930.35063 Hong, Jiaxing 7 1999 Muskat problem with surface tension. Zbl 0884.35176 Hong, Jiaxing; Tao, Youshan; Yi, Fahuai 10 1997 Isometric embedding in \(R^3\) of complete noncompact nonnegatively curved surfaces. Zbl 0894.53050 Hong, Jiaxing 1 1997 Existence, uniqueness, and regularity of classical solutions of the Mullins-Sekerka problem. Zbl 0884.35177 Chen, Xinfu; Hong, Jiaxing; Yi, Fahuai 32 1996 \(L^ p\) estimates for a class of integral operators. Zbl 0869.35044 Hong, Jiaxing; Li, Goquan 7 1996 Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\). Zbl 0833.53049 Hong, J.; Zuily, C. 25 1995 The global smooth solutions of Cauchy problems for hyperbolic equation of Monge-Ampère type. Zbl 0830.35082 Hong, Jiaxing 7 1995 The estimates near the boundary for solutions of Monge-Ampère equations. Zbl 0824.35035 Hong, Jiaxing 5 1994 Some developments of the theory of mixed PDEs. Zbl 0833.35098 Gu, Chaohao; Hong, Jiaxing 1 1994 Realization in \(\mathbb{R}^ 3\) of complete Riemannian manifolds with negative curvature. Zbl 0856.53004 Hong, Jiaxing 16 1993 Dirichlet problems for general Monge-Ampère equations. Zbl 0771.35020 Hong, Jiaxing 8 1992 \(L^ p\) and Hölder estimates for a class of degenerate elliptic boundary value problems. Application to the Monge-Ampère equation. Zbl 0742.35009 Hong, Jiaxing; Zuily, Claude 9 1991 Cauchy problems for degenerate hyperbolic Monge-Ampère equations and some applications. Zbl 0753.35055 Hong, Jiaxing 1 1991 Dirichlet problems for Monge-Ampère equation degenerate on boundary. Zbl 0757.35020 Hong, Jiaxing 1 1991 \(L^ 2\)-hypoellipticity for a class of operators of mixed type. Zbl 0664.35060 Hong, Jiaxing 1 1988 Existence of \(C^{\infty}\) local solutions for the Monge-Ampère equation. Zbl 0648.35016 Hong, Jiaxing; Zuily, Claude 12 1987 Surface in \(R^ 3\) with prescribed Gauss curvature. Zbl 0636.53004 Hong, Jiaxing 2 1987 BVPs for differential operators with characteristic degenerate surfaces. Zbl 0559.35054 Hong, Jiaxing 2 1984 On boundary value problems for mixed equations with characteristic degenerate surfaces. Zbl 0486.35055 Hong, Jiaxing 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 254 Authors 11 Slemrod, Marshall 9 Chen, Gui-Qiang G. 9 Han, Qing 9 Huang, Genggeng 8 Hong, Jiaxing 7 Wang, Dehua 6 Li, Siran 6 Matioc, Bogdan-Vasile 5 Cao, Wentao 5 Christoforou, Cleopatra C. 5 Friedman, Avner 5 Lewicka, Marta 4 Guan, Pengfei 4 Jiao, Heming 4 Li, Chunhe 4 Wang, Xu-Jia 3 Bazaliy, Borys V. 3 Escher, Joachim 3 Khuri, Marcus A. 3 Matioc, Anca-Voichita 3 Simonett, Gieri 3 Tian, Guji 3 Trudinger, Neil Sidney 3 Wang, Qi 3 Witt, Ingo 3 Xiang, Ni 3 Yin, Huicheng 3 Zuily, Claude 2 Alikakos, Nicholas D. 2 Anderson, Michael T. 2 Atallah, Amel 2 Bao, Jiguang 2 Chen, Tiancong 2 Fusco, Giorgio 2 Hadzic, Mahir 2 He, Daoyin 2 Huang, Feimin 2 Karali, Georgia D. 2 Kong, Dexing 2 Le, Nam Q. 2 Li, Congming 2 Ma, Xi-Nan 2 Pakzad, Mohammad Reza 2 Palmieri, Alessandro 2 Prüß, Jan Wilhelm 2 Saucan, Emil 2 Shi, Shujun 2 Shi, Yuguang 2 Tao, Youshan 2 Vasylyeva, Nataliya V. 2 Xie, Xuming 2 Xu, Chao-Jiang 2 Yan, Weiping 2 Yang, Ge 2 Yi, Fahuai 1 Abels, Helmut 1 Acharya, Amit 1 Alber, Hans-Dieter 1 Alexandrov, Victor A. 1 Anaya, Robert Andres Galeano 1 Andriyanova, Èlina Radikovna 1 Anthonissen, Martijn Johannes Hermanus 1 Antonopoulou, Dimitra C. 1 Azami, Shahroud 1 Bailly, Jacques-Herbert 1 Ballesteros-Chávez, Daniel 1 Baňas, Ľubomír 1 Bates, Peter W. 1 Belegradek, Igor 1 Belot, Gordon 1 Bergner, Matthias 1 Bertens, Maikel W. M. C. 1 Bhattacharya, Kaushik 1 Bitsaki, Marina 1 Bonito, Andrea 1 Bronsard, Lia 1 Bruno, Franchi 1 Carlen, Eric Anders 1 Carvalho, Maria Conceição 1 Cayatte, Véronique 1 Chantry, Loïc 1 Chen, ChuanQiang 1 Chen, Hua 1 Chen, Li 1 Chen, Shaohua 1 Chen, Wenhui 1 Chen, Wenxiong 1 Chen, Xinfu 1 Cheng, Huihui 1 Cheng, Tingzhi 1 Chugreeva, Olga 1 Clement, Richard A. 1 Colin de Verdière, Éric 1 Cui, Shangbin 1 Da Silva, Fabiano Borges 1 Dai, Limei 1 Dauvergne, Frédéric 1 De Mesmay, Arnaud 1 Debrabant, Kristian 1 Deckelnick, Klaus ...and 154 more Authors all top 5 Cited in 84 Serials 17 Journal of Differential Equations 10 Calculus of Variations and Partial Differential Equations 9 Archive for Rational Mechanics and Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Communications in Partial Differential Equations 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 Chinese Annals of Mathematics. Series B 6 The Journal of Geometric Analysis 6 Discrete and Continuous Dynamical Systems 5 Advances in Mathematics 4 Journal of Mathematical Analysis and Applications 4 Quarterly of Applied Mathematics 4 Science China. Mathematics 3 Journal of Mathematical Physics 3 Inventiones Mathematicae 3 Journal of Functional Analysis 3 Science in China. Series A 2 Communications in Mathematical Physics 2 General Relativity and Gravitation 2 Bulletin of the London Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Pacific Journal of Mathematics 1 SIAM Journal on Numerical Analysis 1 Tôhoku Mathematical Journal. Second Series 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Discrete & Computational Geometry 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Stochastic Processes and their Applications 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Dynamical Systems 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of the Indonesian Mathematical Society 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Annals of PDE 1 Journal of Elliptic and Parabolic Equations 1 Actes des Rencontres du C.I.R.M. 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications all top 5 Cited in 32 Fields 150 Partial differential equations (35-XX) 65 Differential geometry (53-XX) 30 Fluid mechanics (76-XX) 25 Global analysis, analysis on manifolds (58-XX) 15 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Manifolds and cell complexes (57-XX) 9 Numerical analysis (65-XX) 8 Relativity and gravitational theory (83-XX) 6 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year