## Li, YanYan

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 Author ID: li.yanyan Published as: Li, YanYan; Li, Yanyan; Li, Yan Yan; Li, Y. Y.; Li, Yan-yan; Li, Y. more...less Homepage: http://www.math.rutgers.edu/~yyli/ External Links: MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 210 Publications since 1989 2 Contributions as Editor · 1 Further Contribution Co-Authors: 55 Co-Authors with 112 Joint Publications 1,569 Co-Co-Authors
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### Co-Authors

 43 single-authored 13 Nguyen, Luc 12 Nirenberg, Louis 9 Li, Aobing 7 Caffarelli, Luis Ángel 7 Han, Zheng-Chao 6 Brézis, Haïm 6 Yan, Xukai 5 Li, Haigang 5 Tian, Gang 5 Wang, Bo 5 Zhang, Lei 4 Hu, Shuangnian 4 Jin, Qinian 4 Xiong, Jingang 4 Zhu, Meijun 3 Ambrosetti, Antonio 3 Bao, Ellen Shiting 3 Bao, Jiguang 3 Cao, Daomin 3 Chen, Chuanfa 3 Guan, Pengfei 3 Jin, Tianling 3 Liu, Gui-Rong 3 Malchiodi, Andrea 3 Niu, Yujun 3 Xu, Haoyuan 3 Yang, Chenjun 3 Ye, Meina 3 Yin, Biao 2 Alama, Stan 2 Aubin, Thierry Émilien Flavien 2 Bahri, Abbas 2 Chanillo, Sagun 2 Chen, Gui-Qiang G. 2 Deng, Dingshan 2 Dong, Ruili 2 Hon, Yiu-Chung 2 Li, Haifen 2 Li, Junfang 2 Lin, Fang Hua 2 Long, Wei 2 Mastrolia, Paolo 2 Monticelli, Dario Daniele 2 Ricciardi, Tonia 2 Shafrir, Itai 2 Shi, Xiaoqiu 2 Song, Bosheng 2 Tan, Yonghong 2 Weinstein, Gilbert 2 Yang, Zhuolun 2 Zhu, Xiping 1 Adcock, Thomas A. A. 1 Agmon, Shmuel 1 Akman, Olcay 1 Bao, Gui 1 Barratt, Dylan 1 Bayliss, Alvin 1 Berestycki, Henri 1 Bi, Qinsheng 1 Bian, Jiawen 1 Bikdash, Marwan U. 1 Bingham, Harry B. 1 Birindelli, Isabeau 1 Bond, Daryl 1 Cao, Xuewei 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Chen, Xingdi 1 Chervoneva, Inna 1 Chruściel, Piotr Tadeusz 1 Comar, Timothy D. 1 Croitor Sava, A. R. 1 Dai, Honglei 1 Dai, Kaiyu 1 Guedes de Figueiredo, Djairo 1 Dinamarca, M. Alejandro 1 Donnelly, William 1 Ekeland, Ivar 1 Fefferman, Charles Louis 1 Fino, Anna 1 González, María del Mar 1 Guan, Bo 1 Hrozencik, Daniel 1 Ji, Shunying 1 Jin, Yu 1 Kinderlehrer, David 1 Kiseľák, Jozef 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Laudadio, Teresa 1 Lax, Peter David 1 LePage, Elise 1 Lewis, Roger T. 1 Li, Congming 1 Li, Hongwei 1 Lin, An 1 Lin, Chang-Shou 1 Liu, Jiakun 1 Liu, Zhihui ...and 53 more Co-Authors
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### Serials

 13 Communications on Pure and Applied Mathematics 10 Calculus of Variations and Partial Differential Equations 9 Journal of Differential Equations 9 Journal of Functional Analysis 7 Archive for Rational Mechanics and Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Discrete and Continuous Dynamical Systems 4 Journal of the European Mathematical Society (JEMS) 3 Communications in Mathematical Physics 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 Journal of Northwest University. Natural Sciences Edition 3 Communications in Partial Differential Equations 3 Topological Methods in Nonlinear Analysis 3 Methods and Applications of Analysis 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 International Journal of Computational Methods 3 Mathematical Geosciences 3 Journal of Chongqing Normal University. Natural Science 2 International Journal of Heat and Mass Transfer 2 Journal of Fluid Mechanics 2 Physica A 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Partial Differential Equations 2 Communications in Analysis and Geometry 2 Advances in Differential Equations 2 Journal of Sichuan Normal University. Natural Science 2 Control Theory & Applications 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Analysis in Theory and Applications 2 Journal of Fixed Point Theory and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal d’Analyse Mathématique 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 Mathematics of Computation 1 Acta Mathematica 1 American Journal of Mathematics 1 Applied Mathematics and Computation 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Mathematicae Applicatae Sinica 1 Mathematics in Practice and Theory 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Information and Computation 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Electronic Journal of Differential Equations (EJDE) 1 Engineering Analysis with Boundary Elements 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 Journal of Mathematical Study 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Fundamenta Informaticae 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Journal of Zhejiang University. Science Edition 1 Advanced Nonlinear Studies 1 Journal of Yunnan University. Natural Sciences Edition 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Mathematical Medicine and Biology 1 Journal of Anhui University. Natural Science Edition 1 Journal of Statistical Theory and Practice 1 SIAM Journal on Imaging Sciences 1 International Journal of Biomathematics 1 Science China. Mathematics 1 Journal of Beihua University. Natural Science 1 Journal of Mathematical Research with Applications 1 Communications in Mathematics and Statistics 1 Journal of Yunnan Minzu University. Natural Sciences Edition
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### Fields

 129 Partial differential equations (35-XX) 64 Differential geometry (53-XX) 42 Global analysis, analysis on manifolds (58-XX) 12 Fluid mechanics (76-XX) 10 Biology and other natural sciences (92-XX) 9 Numerical analysis (65-XX) 9 Mechanics of deformable solids (74-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Optics, electromagnetic theory (78-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 4 History and biography (01-XX) 4 Functional analysis (46-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

158 Publications have been cited 4,172 times in 2,311 Documents Cited by Year
Uniqueness theorems through the method of moving spheres. Zbl 0846.35050
Li, Yanyan; Zhu, Meijun
1995
Remark on some conformally invariant integral equations: the method of moving spheres. Zbl 1075.45006
Li, Yan Yan
2004
Blow-up analysis for solutions of $$-\Delta u = V e^ u$$ in dimension two. Zbl 0842.35011
Li, YanYan; Shafrir, Itai
1994
Prescribing scalar curvature on $$\mathbb{S}^ n$$ and related problems. I. Zbl 0827.53039
Li, Yanyan
1995
Harnack type inequality: The method of moving planes. Zbl 0928.35057
Li, Yan Yan
1999
Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients. Zbl 0958.35060
Li, Yan Yan; Vogelius, Michael
2000
Estimates for elliptic systems from composite material. Zbl 1125.35339
Li, YanYan; Nirenberg, Louis
2003
On a variational problem with lack of compactness: The topological effect of the critical points at infinity. Zbl 0814.35032
Bahri, Abbas; Li, Yanyan; Rey, Olivier
1995
Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations. Zbl 1173.35477
Li, Yanyan; Zhang, Lei
2003
On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions. Zbl 1300.53041
Jin, Tianling; Li, YanYan; Xiong, Jingang
2014
On a min-max procedure for the existence of a positive solution for certain scalar field equations in $${\mathbb{R}}^ N$$. Zbl 0731.35036
Bahri, Abbas; Li, Yan Yan
1990
On a singularly perturbed elliptic equation. Zbl 1023.35500
Li, YanYan
1997
Yamabe type equations on three-dimensional Riemannian manifolds. Zbl 0973.53029
Li, Yanyan; Zhu, Meijun
1999
On “multibump” bound states for certain semilinear elliptic equations. Zbl 0796.35043
Alama, Stanley; Li, Yan Yan
1992
Prescribing scalar curvature on $$S^ n$$ and related problems. II: Existence and compactness. Zbl 0849.53031
Li, YanYan
1996
On some conformally invariant fully nonlinear equations. Zbl 1155.35353
Li, Aobing; Li, YanYan
2003
Existence of many positive solutions of semilinear equations on annulus. Zbl 0748.35013
Li, Yan Yan
1990
On a singularly perturbed equation with Neumann boundary condition. Zbl 0898.35004
Li, YanYan
1998
A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120
Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W.
2006
An extension to a theorem of Jörgens, Calabi, and Pogorelov. Zbl 1236.35041
Caffarelli, L.; Li, YanYan
2003
The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations. Zbl 1062.49021
Li, YanYan; Nirenberg, Louis
2005
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
2005
The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083
Li, Yanyan; Nirenberg, Louis
1998
On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe. Zbl 1216.35038
Li, Aobing; Li, YanYan
2005
Existence of solutions for semilinear elliptic equations with indefinite linear part. Zbl 0766.35009
Alama, Stanley; Li, YanYan
1992
The Yamabe problem on manifolds with boundary: Existence and compactness results. Zbl 0945.53023
Han, Zheng-Chao; Li, Yanyan
1999
Some existence results for fully nonlinear elliptic equations of Monge- Ampère type. Zbl 0705.35038
Li, Yanyan
1990
Gradient estimates for the perfect conductivity problem. Zbl 1173.78002
Bao, Ellen Shiting; Li, Yan Yan; Yin, Biao
2009
Compactness of solutions to the Yamabe problem. III. Zbl 1229.35072
Li, Yanyan; Zhang, Lei
2007
A sup+inf inequality for some nonlinear elliptic equations involving exponential nonlinearities. Zbl 0794.35048
Brézis, Haïm; Li, YanYan; Shafrir, Itai
1993
On the best Sobolev inequality. Zbl 0944.46027
Aubin, Thierry; Li, Yan Yan
1999
Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044
Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis
2013
Degree theory for second order nonlinear elliptic operators and its applications. Zbl 0702.35094
Li, Yan Yan
1989
Gradient estimates for the perfect and insulated conductivity problems with multiple inclusions. Zbl 1218.35230
Bao, Ellen Shiting; Li, Yan Yan; Yin, Biao
2010
Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis
2009
On a fractional Nirenberg problem. II: existence of solutions. Zbl 1319.53031
Jin, Tianling; Li, Yanyan; Xiong, Jingang
2015
Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries. Zbl 0869.58054
Li, Yanyan; Zhu, Meijun
1997
The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature. Zbl 0990.53033
Han, Zheng-Chao; Li, YanYan
2000
Conformally invariant fully nonlinear elliptic equations and isolated singularities. Zbl 1293.35112
Li, YanYan
2006
Continuity of solutions of uniformly elliptic equations in $$\mathbb{R}^ 2$$. Zbl 0797.35031
Chanillo, Sagun; Li, Yan Yan
1992
The Nirenberg problem and its generalizations: a unified approach. Zbl 1384.53039
Jin, Tianling; Li, YanYan; Xiong, Jingang
2017
On uniformly rotating stars. Zbl 0850.76784
Li, Yanyan
1991
The Weyl problem with nonnegative Gauss curvature. Zbl 0796.53056
Guan, Pengfei; Li, Yan Yan
1994
Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099
Jin, Qinian; Li, YanYan; Xu, Haoyuan
2008
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
2002
On $$-\Delta u=K(x)u^ 5$$ in $${\mathbb{R}}^ 3$$. Zbl 0799.35068
Li, Yan Yan
1993
Gradient estimates for solutions of the Lamé system with partially infinite coefficients. Zbl 1309.35160
Bao, Jiguang; Li, Haigang; Li, Yanyan
2015
Topology and Sobolev spaces. Zbl 1001.46019
Brezis, Haim; Li, Yanyan
2001
Hypersurfaces of prescribed curvature measure. Zbl 1254.53073
Guan, Pengfei; Li, Junfang; Li, Yanyan
2012
A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. Zbl 1255.35123
Li, YanYan; Lin, Chang-Shou
2012
Derivative estimates of solutions of elliptic systems in narrow regions. Zbl 1298.35220
Li, Haigang; Li, Yanyan; Bao, Ellen Shiting; Yin, Biao
2014
Asymptotic behavior of solutions to the $$\sigma_{k}$$-Yamabe equation near isolated singularities. Zbl 1211.53064
Han, Zheng-Chao; Li, YanYan; Teixeira, Eduardo V.
2010
Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two. Zbl 1353.35079
Bao, Ji Guang; Li, Hai Gang; Li, Yan Yan
2017
Some nonlinear elliptic equations have only constant solutions. Zbl 1174.35368
Brezis, Haïm; Li, YanYan
2006
On diameters of uniformly rotating stars. Zbl 0816.76076
Chanillo, Sagun; Li, Yan Yan
1994
The Nirenberg problem in a domain with boundary. Zbl 0870.35036
Li, YanYan
1995
A Liouville theorem for solutions of the Monge–Ampère equation with periodic data. Zbl 1108.35051
Caffarelli, L.; Li, YanYan
2004
A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source. Zbl 1393.35087
Zheng, Jiashan; Li, YanYan; Bao, Gui; Zou, Xinhua
2018
Prescribing scalar curvature on $$\mathbb{S}^ 3$$, $$\mathbb{S}^ 4$$ and related problems. Zbl 0790.53040
Li, YanYan
1993
A Harnack type inequality for the Yamabe equation in low dimensions. Zbl 1113.35070
Li, Yan Yan; Zhang, Lei
2004
Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044
Caffarelli, Luis; Li, YanYan; Nirenberg, Louis
2012
Sharp Sobolev inequalities involving boundary terms. Zbl 0901.58066
Li, Y. Y.; Zhu, M.
1998
Interior gradient estimates for solutions of certain fully nonlinear elliptic equations. Zbl 0724.35020
Li, Yan Yan
1991
Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator. Zbl 1179.35138
Cao, Daomin; Li, Yanyan
2008
Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary. Zbl 1153.35323
Jin, Qinian; Li, Aobing; Li, YanYan
2007
A geometric characterization of a sharp Hardy inequality. Zbl 1243.26008
Lewis, Roger T.; Li, Junfang; Li, Yanyan
2012
Nonautonomous nonlinear scalar field equations. Zbl 0718.35036
Li, YanYan
1990
Mass and angular-momentum inequalities for axi-symmetric initial data sets. II: Angular momentum. Zbl 1151.83009
Chruściel, Piotr T.; Li, Yanyan; Weinstein, Gilbert
2008
Degree and Sobolev spaces. Zbl 0956.46024
Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis
1999
Multi-bump solutions of $$-\Delta = K(x)u^{\frac{n+2}{n-2}}$$ on lattices in $$\mathbb{R}^n$$. Zbl 1410.35047
Li, Yanyan; Wei, Juncheng; Xu, Haoyuan
2018
Some multi-valued solutions to Monge-Ampère equations. Zbl 1108.35052
Caffarelli, L.; Li, YanYan
2006
$$C^{1,1}$$ estimates for solutions of a problem of Alexandrov. Zbl 0879.53047
Guan, Pengfei; Li, Yanyan
1997
Degenerate conformally invariant fully nonlinear elliptic equations. Zbl 1158.35048
Li, YanYan
2007
Degenerate elliptic systems and applications to Ginzburg-Landau type equations. I. Zbl 0847.35055
Han, Zheng-Chao; Li, YanYan
1996
On the exterior Dirichlet problem for Hessian equations. Zbl 1314.35048
Bao, Jiguang; Li, Haigang; Li, Yanyan
2014
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. Zbl 1195.35078
Li, Yanyan
2009
Starshaped compact hypersurfaces with prescribed $$k$$-th mean curvature in hyperbolic space. Zbl 1177.53058
Jin, Qinian; Li, YanYan
2006
Scattering by a potential using hyperbolic methods. Zbl 0692.65068
Bayliss, Alvin; Li, Yanyan; Morawetz, Cathleen S.
1989
Gradient estimates for parabolic systems from composite material. Zbl 1392.35178
Li, HaiGang; Li, YanYan
2017
Monge-Ampère equations on Riemannian manifolds. Zbl 0866.58067
Guan, Bo; Li, YanYan
1996
Starshaped compact hypersurfaces with prescribed $$m$$-th mean curvature in elliptic space. Zbl 1183.53054
2002
A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary. Zbl 1291.53049
Li, YanYan; Nguyen, Luc
2014
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. Zbl 1108.35061
Li, YanYan
2006
A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. Zbl 1428.74211
Li, Y.; Liu, G. R.
2019
Smoothed point interpolation method for elastoplastic analysis. Zbl 1359.74455
Zhang, G. Y.; Li, Y.; Gao, X. X.; Hui, D.; Wang, S. Q.; Zong, Z.
2015
An explicit series solution of the squeezing flow between two infinite plates by means of the homotopy analysis method. Zbl 1221.76158
Ran, X. J.; Zhu, Q. Y.; Li, Y.
2009
Nonexistence of positive solutions for some fully nonlinear elliptic equations. Zbl 1143.35322
Jin, Qinian; Li, Yanyan; Xu, Haoyuan
2005
Nonexistence of axially symmetric, stationary solution of Einstein vacuum equation with disconnected symmetric event horizon. Zbl 0753.53053
Li, Yan Yan; Tian, Gang
1991
On the $$C^{1}$$ regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients. Zbl 1367.35055
Li, Yanyan
2017
A fully nonlinear version of the Yamabe problem on manifolds with boundary. Zbl 1100.53035
Li, Aobing; Li, YanYan
2006
Asymptotics of the gradient of solutions to the perfect conductivity problem. Zbl 1426.78022
Li, Haigang; Li, Yanyan; Yang, Zhuolun
2019
Harnack inequalities and Bôcher-type theorems for conformally invariant, fully nonlinear degenerate elliptic equations. Zbl 1312.35090
Li, Yan Yan; Nguyen, Luc
2014
Compactness of solutions to the Yamabe problem. Zbl 1101.53018
Li, YanYan; Zhang, Lei
2004
The Calabi-Yau equation on 4-manifolds over 2-tori. Zbl 1269.53047
Fino, A.; Li, Y. Y.; Salamon, S.; Vezzoni, L.
2013
On some conformally invariant fully nonlinear equations. Zbl 0998.58011
Li, Aobing; Li, YanYan
2002
Existence and nonexistence to exterior Dirichlet problem for Monge-Ampère equation. Zbl 1402.53031
Li, YanYan; Lu, Siyuan
2018
Regularity of harmonic maps with prescribed singularities. Zbl 0785.53047
Li, Yanyan; Tian, Gang
1992
A modified triangulation algorithm tailored for the smoothed finite element method (S-FEM). Zbl 1359.65260
Li, Y.; Li, Ming; Liu, G. R.
2014
A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound. Zbl 1288.53030
Li, YanYan; Nguyen, Luc
2014
A priori bounds for co-dimension one isometric embeddings. Zbl 0964.53038
Li, Yanyan; Weinstein, Gilbert
1999
Asymptotic stability of homogeneous solutions of incompressible stationary Navier-Stokes equations. Zbl 1473.35407
Li, YanYan; Yan, Xukai
2021
On COVID-19 outbreaks predictions: issues on stability, parameter sensitivity, and precision. Zbl 1470.92351
Stehlík, M.; Kiseľák, J.; Dinamarca, M. Alejandro; Li, Y.; Ying, Y.
2021
Fine regularity of solutions to the Dirichlet problem associated with the regional fractional Laplacian. Zbl 1474.35162
Li, Yanyan
2021
Solutions to the $${\sigma_k}$$-Loewner-Nirenberg problem on annuli are locally Lipschitz and not differentiable. Zbl 1474.35211
Li, Yanyan; Nguyen, Luc
2021
Quantum corrections to finite radius holography and holographic entanglement entropy. Zbl 1437.83109
Donnelly, William; LePage, Elise; Li, Yan-Yan; Pereira, Andre; Shyam, Vasudev
2020
The magnetised Richtmyer-Meshkov instability in two-fluid plasmas. Zbl 1460.76945
Bond, Daryl; Wheatley, V.; Li, Y.; Samtaney, R.; Pullin, D. I.
2020
A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. Zbl 1428.74211
Li, Y.; Liu, G. R.
2019
Asymptotics of the gradient of solutions to the perfect conductivity problem. Zbl 1426.78022
Li, Haigang; Li, Yanyan; Yang, Zhuolun
2019
Compactness of conformal metrics with constant $$Q$$-curvature. I. Zbl 1484.53075
Li, YanYan; Xiong, Jingang
2019
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III: Two singularities. Zbl 1427.35180
Li, Li; Li, Yanyan; Yan, Xukai
2019
Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations. Zbl 1428.35303
Li, Li; Li, YanYan; Yan, Xukai
2019
Comparison principles for some fully nonlinear sub-elliptic equations on the Heisenberg group. Zbl 1438.35411
Li, Yanyan; Wang, Bo
2019
A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source. Zbl 1393.35087
Zheng, Jiashan; Li, YanYan; Bao, Gui; Zou, Xinhua
2018
Multi-bump solutions of $$-\Delta = K(x)u^{\frac{n+2}{n-2}}$$ on lattices in $$\mathbb{R}^n$$. Zbl 1410.35047
Li, Yanyan; Wei, Juncheng; Xu, Haoyuan
2018
Existence and nonexistence to exterior Dirichlet problem for Monge-Ampère equation. Zbl 1402.53031
Li, YanYan; Lu, Siyuan
2018
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I: One singularity. Zbl 1384.35064
Li, Li; Li, Yan Yan; Yan, Xukai
2018
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II: Classification of axisymmetric no-swirl solutions. Zbl 1392.35208
Li, Li; Li, YanYan; Yan, Xukai
2018
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations. Zbl 1397.35100
Li, YanYan; Nguyen, Luc; Wang, Bo
2018
Strong comparison principles for some nonlinear degenerate elliptic equations. Zbl 1438.35144
Li, Yanyan; Wang, Bo
2018
Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem. Zbl 1406.35122
González, María del Mar; Li, YanYan; Nguyen, Luc
2018
Dynamics of gene regulatory networks with stochastic propensities. Zbl 1385.92019
Akman, Olcay; Comar, Timothy D.; Harris, A. L.; Hrozencik, D.; Li, Y.
2018
The Nirenberg problem and its generalizations: a unified approach. Zbl 1384.53039
Jin, Tianling; Li, YanYan; Xiong, Jingang
2017
Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two. Zbl 1353.35079
Bao, Ji Guang; Li, Hai Gang; Li, Yan Yan
2017
Gradient estimates for parabolic systems from composite material. Zbl 1392.35178
Li, HaiGang; Li, YanYan
2017
On the $$C^{1}$$ regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients. Zbl 1367.35055
Li, Yanyan
2017
Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051
Li, Y.; Hon, Y. C.
2017
Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations. Zbl 1380.35096
Li, YanYan; Nguyen, Luc
2017
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions. Zbl 1366.35045
Li, Yanyan; Liu, Jiakun; Nguyen, Luc
2017
The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields. Zbl 1399.11095
Hu, Shuangnian; Li, Yanyan
2017
NMF in MR spectroscopy. Zbl 1359.92062
Laudadio, T.; Croitor Sava, A. R.; Li, Y.; Sauwen, N.; Sima, D. M.; Van Huffel, S.
2016
On a fractional Nirenberg problem. II: existence of solutions. Zbl 1319.53031
Jin, Tianling; Li, Yanyan; Xiong, Jingang
2015
Gradient estimates for solutions of the Lamé system with partially infinite coefficients. Zbl 1309.35160
Bao, Jiguang; Li, Haigang; Li, Yanyan
2015
Smoothed point interpolation method for elastoplastic analysis. Zbl 1359.74455
Zhang, G. Y.; Li, Y.; Gao, X. X.; Hui, D.; Wang, S. Q.; Zong, Z.
2015
Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019
Li, Yanyan; Tang, Moxun; Yu, Jianshe
2015
Evolutionary behavior of generalized zero-determinant strategies in iterated prisoner’s dilemma. Zbl 1400.91051
Liu, Jie; Li, Y.; Xu, C.; Hui, P. M.
2015
On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions. Zbl 1300.53041
Jin, Tianling; Li, YanYan; Xiong, Jingang
2014
Derivative estimates of solutions of elliptic systems in narrow regions. Zbl 1298.35220
Li, Haigang; Li, Yanyan; Bao, Ellen Shiting; Yin, Biao
2014
On the exterior Dirichlet problem for Hessian equations. Zbl 1314.35048
Bao, Jiguang; Li, Haigang; Li, Yanyan
2014
A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary. Zbl 1291.53049
Li, YanYan; Nguyen, Luc
2014
Harnack inequalities and Bôcher-type theorems for conformally invariant, fully nonlinear degenerate elliptic equations. Zbl 1312.35090
Li, Yan Yan; Nguyen, Luc
2014
A modified triangulation algorithm tailored for the smoothed finite element method (S-FEM). Zbl 1359.65260
Li, Y.; Li, Ming; Liu, G. R.
2014
A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound. Zbl 1288.53030
Li, YanYan; Nguyen, Luc
2014
On conformally invariant equations on $$\mathbf R^n$$. Zbl 1286.35076
Li, Yanyan; Mastrolia, Paolo; Monticelli, Dario D.
2014
Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044
Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis
2013
The Calabi-Yau equation on 4-manifolds over 2-tori. Zbl 1269.53047
Fino, A.; Li, Y. Y.; Salamon, S.; Vezzoni, L.
2013
Routes to bursting in a periodically driven oscillator. Zbl 1428.37037
Zhang, Zhengdi; Li, Yanyan; Bi, Qinsheng
2013
A generalized mass involving higher order symmetric functions of the curvature tensor. Zbl 1279.53034
Li, Yan Yan; Nguyen, Luc
2013
Hypersurfaces of prescribed curvature measure. Zbl 1254.53073
Guan, Pengfei; Li, Junfang; Li, Yanyan
2012
A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. Zbl 1255.35123
Li, YanYan; Lin, Chang-Shou
2012
Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044
Caffarelli, Luis; Li, YanYan; Nirenberg, Louis
2012
A geometric characterization of a sharp Hardy inequality. Zbl 1243.26008
Lewis, Roger T.; Li, Junfang; Li, Yanyan
2012
On conformally invariant equations on $$R^n$$-II. Exponential invariance. Zbl 1250.35068
Li, Yanyan; Mastrolia, Paolo; Monticelli, Dario D.
2012
Counterexamples to $$C^2$$-boundary estimates for a fully nonlinear Yamabe problem on manifolds with boundary. Zbl 1257.53058
Li, YanYan; Nguyen, Luc
2012
Gradient estimates for the perfect and insulated conductivity problems with multiple inclusions. Zbl 1218.35230
Bao, Ellen Shiting; Li, Yan Yan; Yin, Biao
2010
Asymptotic behavior of solutions to the $$\sigma_{k}$$-Yamabe equation near isolated singularities. Zbl 1211.53064
Han, Zheng-Chao; Li, YanYan; Teixeira, Eduardo V.
2010
Stochastic mixed multiscale finite element methods and their applications in random porous media. Zbl 1231.74418
Jiang, L.; Mishev, I.; Li, Y.
2010
On the local solvability of the Nirenberg problem on $$\mathbb S^2$$. Zbl 1193.35045
Han, Zheng-Chao; Li, Yanyan
2010
Numerical simulation of the transient heat and liquid moisture transfer through porous textiles with consideration of electric double layer. Zbl 1183.80085
Zhu, Q. Y.; Li, Y.
2010
Gradient estimates for the perfect conductivity problem. Zbl 1173.78002
Bao, Ellen Shiting; Li, Yan Yan; Yin, Biao
2009
Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis
2009
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. Zbl 1195.35078
Li, Yanyan
2009
An explicit series solution of the squeezing flow between two infinite plates by means of the homotopy analysis method. Zbl 1221.76158
Ran, X. J.; Zhu, Q. Y.; Li, Y.
2009
Partial results on extending the Hopf Lemma. Zbl 1196.35062
Li, Yan Yan; Nirenberg, Louis
2009
A Harnack type inequality for some conformally invariant equations on half Euclidean space. Zbl 1212.35124
Li, Aobing; Li, Yanyan
2009
Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099
Jin, Qinian; Li, YanYan; Xu, Haoyuan
2008
Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator. Zbl 1179.35138
Cao, Daomin; Li, Yanyan
2008
Mass and angular-momentum inequalities for axi-symmetric initial data sets. II: Angular momentum. Zbl 1151.83009
Chruściel, Piotr T.; Li, Yanyan; Weinstein, Gilbert
2008
Compactness of solutions to the Yamabe problem. III. Zbl 1229.35072
Li, Yanyan; Zhang, Lei
2007
Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary. Zbl 1153.35323
Jin, Qinian; Li, Aobing; Li, YanYan
2007
Degenerate conformally invariant fully nonlinear elliptic equations. Zbl 1158.35048
Li, YanYan
2007
A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120
Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W.
2006
Conformally invariant fully nonlinear elliptic equations and isolated singularities. Zbl 1293.35112
Li, YanYan
2006
Some nonlinear elliptic equations have only constant solutions. Zbl 1174.35368
Brezis, Haïm; Li, YanYan
2006
Some multi-valued solutions to Monge-Ampère equations. Zbl 1108.35052
Caffarelli, L.; Li, YanYan
2006
Starshaped compact hypersurfaces with prescribed $$k$$-th mean curvature in hyperbolic space. Zbl 1177.53058
Jin, Qinian; Li, YanYan
2006
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. Zbl 1108.35061
Li, YanYan
2006
A fully nonlinear version of the Yamabe problem on manifolds with boundary. Zbl 1100.53035
Li, Aobing; Li, YanYan
2006
A geometric problem and the Hopf lemma. II. Zbl 1149.53302
Li, YanYan; Nirenberg, Louis
2006
A geometric problem and the Hopf lemma. I. Zbl 1113.53003
Li, YanYan; Nirenberg, Louis
2006
Generalization of a well-known inequality. Zbl 1284.26021
Li, YanYan; Nirenberg, Louis
2006
The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations. Zbl 1062.49021
Li, YanYan; Nirenberg, Louis
2005
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
2005
On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe. Zbl 1216.35038
Li, Aobing; Li, YanYan
2005
Nonexistence of positive solutions for some fully nonlinear elliptic equations. Zbl 1143.35322
Jin, Qinian; Li, Yanyan; Xu, Haoyuan
2005
Remark on some conformally invariant integral equations: the method of moving spheres. Zbl 1075.45006
Li, Yan Yan
2004
A Liouville theorem for solutions of the Monge–Ampère equation with periodic data. Zbl 1108.35051
Caffarelli, L.; Li, YanYan
2004
A Harnack type inequality for the Yamabe equation in low dimensions. Zbl 1113.35070
Li, Yan Yan; Zhang, Lei
2004
Compactness of solutions to the Yamabe problem. Zbl 1101.53018
Li, YanYan; Zhang, Lei
2004
Estimates for elliptic systems from composite material. Zbl 1125.35339
Li, YanYan; Nirenberg, Louis
2003
Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations. Zbl 1173.35477
Li, Yanyan; Zhang, Lei
2003
On some conformally invariant fully nonlinear equations. Zbl 1155.35353
Li, Aobing; Li, YanYan
2003
An extension to a theorem of Jörgens, Calabi, and Pogorelov. Zbl 1236.35041
Caffarelli, L.; Li, YanYan
2003
A fully nonlinear version of the Yamabe problem and a Harnack type inequality. Zbl 1113.35069
Li, Aobing; Li, YanYan
2003
Liouville type theorems for some conformally invariant fully nonlinear equations. Zbl 1221.35149
Li, YanYan
2003
A sharp Sobolev inequality on Riemannian manifolds. Zbl 1030.58011
Li, YanYan; Ricciardi, Tonia
2003
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
2002
Starshaped compact hypersurfaces with prescribed $$m$$-th mean curvature in elliptic space. Zbl 1183.53054
2002
On some conformally invariant fully nonlinear equations. Zbl 0998.58011
Li, Aobing; Li, YanYan
2002
On some conformally invariant fully nonlinear equations. Zbl 1136.53314
Li, Yan Yan
2002
Some nonlinear elliptic equations from geometry. Zbl 1063.53043
Li, Yan Yan
2002
...and 58 more Documents
all top 5

### Cited by 1,732 Authors

 67 Wei, Juncheng 60 Li, YanYan 47 Lin, Chang-Shou 45 Pistoia, Angela 35 Musso, Monica 32 Malchiodi, Andrea 31 Bao, Jiguang 28 Yan, Shusen 27 Chtioui, Hichem 26 Bartolucci, Daniele 24 Zhang, Lei 22 Ben Ayed, Mohamed 22 Byeon, Jaeyoung 22 Guo, Yuxia 21 D’Aprile, Teresa 20 Del Pino, Manuel A. 20 Grossi, Massimo 20 Xiong, Jingang 19 Dai, Limei 19 Hebey, Emmanuel 19 Wang, Guofang 18 Dou, Jingbo 18 Lei, Yutian 17 Ding, Yanheng 17 Li, Haigang 17 Ould Ahmedou, Mohameden 17 Zhu, Meijun 17 Zou, Wenming 16 Chen, Wenxiong 16 Clapp, Mónica 16 Dai, Wei 16 Li, Dongsheng 15 Ammari, Habib M. 15 Cao, Daomin 15 Kim, Seunghyeok 15 Micheletti, Anna Maria 15 Nguyen, Luc 15 Passaseo, Donato 15 Tang, Zhongwei 15 Wang, Chunhua 15 Yang, Wen 14 Jin, Tianling 14 Kang, Hyeonbae 14 Molle, Riccardo 14 Zhou, Chunqin 13 Abdelhedi, Wael 13 Deng, Shengbing 13 Jevnikar, Aleks 13 Wang, Lihe 13 Weth, Tobias 12 Esposito, Pierpaolo 12 Guan, Pengfei 12 Lee, Youngae 12 Pacella, Filomena 12 Tarantello, Gabriella 12 Trudinger, Neil Sidney 12 Vitolo, Antonio 12 Yu, Xiaohui 11 Bahoura, Samy Skander 11 Byun, Sun-Sig 11 Cerami, Giovanna 11 El Mehdi, Khalil O. 11 Ho, Pak Tung 11 Li, Congming 11 Peng, Shuangjie 11 Wu, Tsungfang 11 Yang, Minbo 10 Bartsch, Thomas J. 10 Beretta, Elena 10 Chen, Xuezhang 10 Druet, Olivier 10 Francini, Elisa 10 Gui, Changfeng 10 Jiang, Feida 10 Khuri, Marcus A. 10 Lim, Mikyoung 10 Lu, Guozhen 10 Miyagaki, Olimpio Hiroshi 10 Tanaka, Kazunaga 10 Thizy, Pierre-Damien 10 Xu, Xingwang 10 Yang, Jianfu 10 Yun, Kihyun 9 Dong, Hongjie 9 Jost, Jürgen 9 Labropoulos, Nikos 9 Leung, Man Chun 9 Montenegro, Marcos 9 Noussair, Ezzat S. 9 Qin, Guolin 9 Robert, Frédéric 9 Sheng, Weimin 9 Xu, Junxiang 9 Zhang, Fubao 8 Ackermann, Nils 8 Brézis, Haïm 8 Capuzzo Dolcetta, Italo 8 Choi, Woocheol 8 Cotsiolis, Athanase 8 de Marchis, Francesca ...and 1,632 more Authors
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### Cited in 238 Serials

 209 Journal of Differential Equations 202 Calculus of Variations and Partial Differential Equations 141 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 119 Journal of Functional Analysis 117 Journal of Mathematical Analysis and Applications 69 Communications in Partial Differential Equations 65 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 65 Discrete and Continuous Dynamical Systems 58 Communications in Contemporary Mathematics 58 Communications on Pure and Applied Analysis 54 Advances in Mathematics 44 Archive for Rational Mechanics and Analysis 43 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Proceedings of the American Mathematical Society 35 Transactions of the American Mathematical Society 34 Advanced Nonlinear Studies 29 The Journal of Geometric Analysis 25 Communications on Pure and Applied Mathematics 25 Annali di Matematica Pura ed Applicata. Serie Quarta 25 Mathematische Annalen 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Communications in Mathematical Physics 22 Manuscripta Mathematica 22 Mathematische Zeitschrift 22 SIAM Journal on Mathematical Analysis 20 Duke Mathematical Journal 20 Boundary Value Problems 19 NoDEA. Nonlinear Differential Equations and Applications 19 Complex Variables and Elliptic Equations 19 Science China. Mathematics 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Journal of the European Mathematical Society (JEMS) 14 Revista Matemática Iberoamericana 14 Advances in Nonlinear Analysis 13 Journal d’Analyse Mathématique 12 Journal of Mathematical Physics 11 Differential Geometry and its Applications 11 Acta Mathematica Sinica. English Series 10 Applied Mathematics Letters 10 Annales Henri Poincaré 10 Multiscale Modeling & Simulation 9 Applicable Analysis 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Mathematische Nachrichten 9 Chinese Annals of Mathematics. Series B 9 Annals of Global Analysis and Geometry 9 Journal of Mathematical Sciences (New York) 9 Bulletin des Sciences Mathématiques 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Nonlinearity 8 Quarterly of Applied Mathematics 8 Potential Analysis 8 Journal of Fixed Point Theory and Applications 7 Abstract and Applied Analysis 7 Discrete and Continuous Dynamical Systems. Series S 7 Nonlinear Analysis. Theory, Methods & Applications 7 SN Partial Differential Equations and Applications 6 Mathematical Methods in the Applied Sciences 6 Acta Mathematica 6 Inventiones Mathematicae 6 Pacific Journal of Mathematics 6 International Journal of Mathematics 6 Taiwanese Journal of Mathematics 6 Nonlinear Analysis. Real World Applications 6 Milan Journal of Mathematics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 General Relativity and Gravitation 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Archiv der Mathematik 5 Indiana University Mathematics Journal 5 Memoirs of the American Mathematical Society 5 Acta Mathematicae Applicatae Sinica. English Series 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Topological Methods in Nonlinear Analysis 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Frontiers of Mathematics in China 4 Classical and Quantum Gravity 4 Computers & Mathematics with Applications 4 Journal of Geometry and Physics 4 Applied Mathematics and Computation 4 Journal für die Reine und Angewandte Mathematik 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Inequalities and Applications 4 Mathematical Inequalities & Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Advances in Calculus of Variations 4 Bulletin of Mathematical Sciences 4 Arabian Journal of Mathematics 3 Inverse Problems 3 Mathematics of Computation 3 Annales de l’Institut Fourier 3 Publications Mathématiques 3 Journal of Computational and Applied Mathematics 3 Monatshefte für Mathematik 3 Journal of the American Mathematical Society 3 SIAM Journal on Applied Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Electronic Journal of Differential Equations (EJDE) 3 Communications in Mathematics and Statistics ...and 138 more Serials
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### Cited in 52 Fields

 1,932 Partial differential equations (35-XX) 410 Differential geometry (53-XX) 398 Global analysis, analysis on manifolds (58-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 95 Operator theory (47-XX) 85 Functional analysis (46-XX) 83 Integral equations (45-XX) 57 Mechanics of deformable solids (74-XX) 51 Real functions (26-XX) 47 Optics, electromagnetic theory (78-XX) 47 Relativity and gravitational theory (83-XX) 46 Fluid mechanics (76-XX) 42 Quantum theory (81-XX) 37 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 31 Potential theory (31-XX) 30 Numerical analysis (65-XX) 27 Convex and discrete geometry (52-XX) 24 Several complex variables and analytic spaces (32-XX) 24 Astronomy and astrophysics (85-XX) 19 Functions of a complex variable (30-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Biology and other natural sciences (92-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 11 Algebraic topology (55-XX) 10 Mechanics of particles and systems (70-XX) 8 Manifolds and cell complexes (57-XX) 8 Classical thermodynamics, heat transfer (80-XX) 5 Approximations and expansions (41-XX) 5 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 4 Geometry (51-XX) 3 Topological groups, Lie groups (22-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

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