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## Li, YanYan

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 Author ID: li.yanyan Published as: Li, Y.; Li, Y. Y.; Li, Yan Yan; Li, Yan-Yan; Li, Yan-yan; Li, YanYan; Li, Yanyan Homepage: http://www.math.rutgers.edu/~yyli/ External Links: MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 194 Publications since 1989, including 1 Book
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#### Co-Authors

 36 single-authored 12 Nirenberg, Louis 11 Nguyen, Luc 8 Li, Aobing 7 Han, Zheng-Chao 6 Caffarelli, Luis Ángel 5 Brézis, Haïm 5 Li, Haigang 5 Zhang, Lei 4 Jin, Qinian 4 Wang, Bo 4 Xiong, Jingang 4 Zhu, Meijun 3 Ambrosetti, Antonio 3 Bao, Ellen Shiting 3 Bao, Jiguang 3 Cao, Daomin 3 Guan, Pengfei 3 Jin, Tianling 3 Malchiodi, Andrea 3 Tian, Gang 3 Xu, Haoyuan 3 Yin, Biao 2 Alama, Stan 2 Aubin, Thierry Émilien Flavien 2 Bahri, Abbas 2 Chanillo, Sagun 2 Chen, Gui-Qiang G. 2 Li, Junfang 2 Mastrolia, Paolo 2 Monticelli, Dario Daniele 2 Ricciardi, Tonia 2 Shafrir, Itai 2 Weinstein, Gilbert 2 Zhu, Xiping 1 Bayliss, Alvin 1 Chruściel, Piotr Tadeusz 1 Fino, Anna 1 González, María del Mar 1 Guan, Bo 1 Lewis, Roger T. 1 Li, Congming 1 Lin, Chang-Shou 1 Liu, Jiakun 1 Mironescu, Petru 1 Oliker, Vladimir I. 1 Rey, Olivier 1 Salamon, Simon Montague 1 Synge Morawetz, Cathleen 1 Teixeira, Eduardo V. O. 1 Vezzoni, Luigi 1 Vogelius, Michael S. 1 Wang, Zhi-Qiang 1 Wei, Juncheng
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#### Serials

 13 Communications on Pure and Applied Mathematics 8 Calculus of Variations and Partial Differential Equations 7 Journal of Differential Equations 7 Journal of Functional Analysis 6 Archive for Rational Mechanics and Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 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 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 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 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Fixed Point Theory and Applications 1 Journal d’Analyse Mathématique 1 Mathematics of Computation 1 Acta Mathematica 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Electronic Journal of Differential Equations (EJDE) 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Analysis in Theory and Applications 1 Science China. Mathematics 1 Communications in Mathematics and Statistics
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#### Fields

 113 Partial differential equations (35-XX) 61 Differential geometry (53-XX) 40 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 4 Functional analysis (46-XX) 4 Relativity and gravitational theory (83-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

146 Publications have been cited 3,594 times in 2,115 Documents Cited by Year
Uniqueness theorems through the method of moving spheres. Zbl 0846.35050
Li, Yanyan; Zhu, Meijun
1995
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
Remark on some conformally invariant integral equations: the method of moving spheres. Zbl 1075.45006
Li, Yan Yan
2004
Harnack type inequality: The method of moving planes. Zbl 0928.35057
Li, Yan Yan
1999
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
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 fractional Nirenberg problem. I: Blow up analysis and compactness of solutions. Zbl 1300.53041
Jin, Tianling; Li, YanYan; Xiong, Jingang
2014
Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations. Zbl 1173.35477
Li, Yanyan; Zhang, Lei
2003
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
Prescribing scalar curvature on $$S^ n$$ and related problems. II: Existence and compactness. Zbl 0849.53031
Li, YanYan
1996
On “multibump” bound states for certain semilinear elliptic equations. Zbl 0796.35043
Alama, Stanley; Li, Yan Yan
1992
On some conformally invariant fully nonlinear equations. Zbl 1155.35353
Li, Aobing; Li, YanYan
2003
On a singularly perturbed equation with Neumann boundary condition. Zbl 0898.35004
Li, YanYan
1998
Existence of many positive solutions of semilinear equations on annulus. Zbl 0748.35013
Li, Yan Yan
1990
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
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
An extension to a theorem of Jörgens, Calabi, and Pogorelov. Zbl 1236.35041
Caffarelli, L.; Li, YanYan
2003
Existence of solutions for semilinear elliptic equations with indefinite linear part. Zbl 0766.35009
Alama, Stanley; Li, YanYan
1992
On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe. Zbl 1216.35038
Li, Aobing; Li, YanYan
2005
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
The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature. Zbl 0990.53033
Han, Zheng-Chao; Li, YanYan
2000
Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries. Zbl 0869.58054
Li, Yanyan; Zhu, Meijun
1997
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
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
Conformally invariant fully nonlinear elliptic equations and isolated singularities. Zbl 1293.35112
Li, YanYan
2006
Topology and Sobolev spaces. Zbl 1001.46019
Brezis, Haim; Li, Yanyan
2001
On $$-\Delta u=K(x)u^ 5$$ in $${\mathbb{R}}^ 3$$. Zbl 0799.35068
Li, Yan Yan
1993
Continuity of solutions of uniformly elliptic equations in $$\mathbb{R}^ 2$$. Zbl 0797.35031
Chanillo, Sagun; Li, Yan Yan
1992
Degree theory for second order nonlinear elliptic operators and its applications. Zbl 0702.35094
Li, Yan Yan
1989
On a fractional Nirenberg problem. II: existence of solutions. Zbl 1319.53031
Jin, Tianling; Li, Yanyan; Xiong, Jingang
2015
On uniformly rotating stars. Zbl 0850.76784
Li, Yanyan
1991
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
2002
The Weyl problem with nonnegative Gauss curvature. Zbl 0796.53056
Guan, Pengfei; Li, Yan Yan
1994
Gradient estimates for solutions of the Lamé system with partially infinite coefficients. Zbl 1309.35160
Bao, Jiguang; Li, Haigang; Li, Yanyan
2015
A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. Zbl 1255.35123
Li, YanYan; Lin, Chang-Shou
2012
Prescribing scalar curvature on $$\mathbb{S}^ 3$$, $$\mathbb{S}^ 4$$ and related problems. Zbl 0790.53040
Li, YanYan
1993
The Nirenberg problem and its generalizations: a unified approach. Zbl 1384.53039
Jin, Tianling; Li, YanYan; Xiong, Jingang
2017
Derivative estimates of solutions of elliptic systems in narrow regions. Zbl 1298.35220
Li, Haigang; Li, Yanyan; Bao, Ellen Shiting; Yin, Biao
2014
Hypersurfaces of prescribed curvature measure. Zbl 1254.53073
Guan, Pengfei; Li, Junfang; Li, Yanyan
2012
Symmetry and asymmetry: the method of moving spheres. Zbl 1201.35099
Jin, Qinian; Li, YanYan; Xu, Haoyuan
2008
The Nirenberg problem in a domain with boundary. Zbl 0870.35036
Li, YanYan
1995
A Harnack type inequality for the Yamabe equation in low dimensions. Zbl 1113.35070
Li, Yan Yan; Zhang, Lei
2004
A Liouville theorem for solutions of the Monge–Ampère equation with periodic data. Zbl 1108.35051
Caffarelli, L.; Li, YanYan
2004
On diameters of uniformly rotating stars. Zbl 0816.76076
Chanillo, Sagun; Li, Yan Yan
1994
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
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
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
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
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
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
Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator. Zbl 1179.35138
Cao, Daomin; Li, Yanyan
2008
Degree and Sobolev spaces. Zbl 0956.46024
Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis
1999
Sharp Sobolev inequalities involving boundary terms. Zbl 0901.58066
Li, Y. Y.; Zhu, M.
1998
Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary. Zbl 1153.35323
Jin, Qinian; Li, Aobing; Li, YanYan
2007
Interior gradient estimates for solutions of certain fully nonlinear elliptic equations. Zbl 0724.35020
Li, Yan Yan
1991
Gradient estimates for parabolic systems from composite material. Zbl 1392.35178
Li, HaiGang; Li, YanYan
2017
Degenerate conformally invariant fully nonlinear elliptic equations. Zbl 1158.35048
Li, YanYan
2007
Some multi-valued solutions to Monge-Ampère equations. Zbl 1108.35052
Caffarelli, L.; Li, YanYan
2006
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
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 1195.35078
Li, Yanyan
2009
Compactness of solutions to the Yamabe problem. Zbl 1101.53018
Li, YanYan; Zhang, Lei
2004
Monge-Ampère equations on Riemannian manifolds. Zbl 0866.58067
Guan, Bo; Li, YanYan
1996
Scattering by a potential using hyperbolic methods. Zbl 0692.65068
Bayliss, Alvin; Li, Yanyan; Morawetz, Cathleen S.
1989
Harnack inequalities and Bôcher-type theorems for conformally invariant, fully nonlinear degenerate elliptic equations. Zbl 1312.35090
Li, Yan Yan; Nguyen, Luc
2014
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. Zbl 1108.35061
Li, YanYan
2006
Nonexistence of positive solutions for some fully nonlinear elliptic equations. Zbl 1143.35322
Jin, Qinian; Li, Yanyan; Xu, Haoyuan
2005
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
A fully nonlinear version of the Yamabe problem on manifolds with boundary. Zbl 1100.53035
Li, Aobing; Li, YanYan
2006
$$C^{1,1}$$ estimates for solutions of a problem of Alexandrov. Zbl 0879.53047
Guan, Pengfei; Li, Yanyan
1997
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
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
On some conformally invariant fully nonlinear equations. Zbl 0998.58011
Li, Aobing; Li, YanYan
2002
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
On conformally invariant equations on $$R^n$$-II. Exponential invariance. Zbl 1250.35068
Li, Yanyan; Mastrolia, Paolo; Monticelli, Dario D.
2012
Starshaped compact hypersurfaces with prescribed $$k$$-th mean curvature in hyperbolic space. Zbl 1177.53058
Jin, Qinian; Li, YanYan
2006
A fully nonlinear version of the Yamabe problem and a Harnack type inequality. Zbl 1113.35069
Li, Aobing; Li, YanYan
2003
Starshaped compact hypersurfaces with prescribed $$m$$-th mean curvature in elliptic space. Zbl 1183.53054
Li, YanYan; Oliker, Vladimir I.
2002
A priori bounds for co-dimension one isometric embeddings. Zbl 0964.53038
Li, Yanyan; Weinstein, Gilbert
1999
Regularity of harmonic maps with prescribed singularities. Zbl 0785.53047
Li, Yanyan; Tian, Gang
1992
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations. Zbl 1397.35100
Li, YanYan; Nguyen, Luc; Wang, Bo
2018
Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019
Li, Yanyan; Tang, Moxun; Yu, Jianshe
2015
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
The Calabi-Yau equation on 4-manifolds over 2-tori. Zbl 1269.53047
Fino, A.; Li, Y. Y.; Salamon, S.; Vezzoni, L.
2013
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
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 07021539
Li, YanYan; Xiong, Jingang
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
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations. Zbl 1397.35100
Li, YanYan; Nguyen, Luc; Wang, Bo
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
Strong comparison principles for some nonlinear degenerate elliptic equations. Zbl 1438.35144
Li, Yanyan; Wang, Bo
2018
The $$U(n)$$ Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms. Zbl 1407.53092
Alekseev, A.; Lane, J.; Li, Y.
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
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
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, Yan; Hon, Yiu-Chung
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
Towards industrial large eddy simulation using the FR/CPR method. Zbl 1390.76236
Wang, Zhi Jian; Li, Yanan; Jia, Feilin; Laskowski, G. M.; Kopriva, Jim; Paliath, U.; Bhaskaran, Rathakrishnan
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
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 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
A generalized mass involving higher order symmetric functions of the curvature tensor. Zbl 1279.53034
Li, Yan Yan; Nguyen, Luc
2013
Routes to bursting in a periodically driven oscillator. Zbl 1428.37037
Zhang, Zhengdi; Li, Yanyan; Bi, Qinsheng
2013
A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. Zbl 1255.35123
Li, YanYan; Lin, Chang-Shou
2012
Hypersurfaces of prescribed curvature measure. Zbl 1254.53073
Guan, Pengfei; Li, Junfang; Li, Yanyan
2012
A geometric characterization of a sharp Hardy inequality. Zbl 1243.26008
Lewis, Roger T.; Li, Junfang; Li, Yanyan
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
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
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
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
Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator. Zbl 1179.35138
Cao, Daomin; Li, Yanyan
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
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
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
Starshaped compact hypersurfaces with prescribed $$k$$-th mean curvature in hyperbolic space. Zbl 1177.53058
Jin, Qinian; Li, YanYan
2006
A geometric problem and the Hopf lemma. II. Zbl 1149.53302
Li, YanYan; Nirenberg, Louis
2006
Generalization of a well-known inequality. Zbl 1284.26021
Li, YanYan; Nirenberg, Louis
2006
A geometric problem and the Hopf lemma. I. Zbl 1113.53003
Li, YanYan; Nirenberg, Louis
2006
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
2005
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
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 Harnack type inequality for the Yamabe equation in low dimensions. Zbl 1113.35070
Li, Yan Yan; Zhang, Lei
2004
A Liouville theorem for solutions of the Monge–Ampère equation with periodic data. Zbl 1108.35051
Caffarelli, L.; Li, YanYan
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
On some conformally invariant fully nonlinear equations. Zbl 0998.58011
Li, Aobing; Li, YanYan
2002
Starshaped compact hypersurfaces with prescribed $$m$$-th mean curvature in elliptic space. Zbl 1183.53054
Li, YanYan; Oliker, Vladimir I.
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
A sharp Sobolev inequality of Riemannian manifolds. Zbl 1044.53027
Li, Yan Yan; Ricciardi, Tonia
2002
Topology and Sobolev spaces. Zbl 1001.46019
Brezis, Haim; Li, Yanyan
2001
Gluing approximate solutions of minimum type on the Nehari manifold. Zbl 0963.35052
Li, Yanyan; Wang, Zhi-Qiang
2001
Fine analysis of blow up and applications. Zbl 1060.53048
Li, YanYan
2001
Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients. Zbl 0958.35060
Li, Yan Yan; Vogelius, Michael
2000
The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature. Zbl 0990.53033
Han, Zheng-Chao; Li, YanYan
2000
Scalar curvature under boundary conditions. Zbl 0969.58005
Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea
2000
A note on the scalar curvature problem in the presence of symmetries. Zbl 1008.53038
Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea
2000
Best Sobolev inequalities on Riemannian manifolds. Zbl 1161.58318
Li, YanYan
2000
Topology and Sobolev spaces. Zbl 0972.46014
Brezis, Haïm; Li, YanYan
2000
Harnack type inequality: The method of moving planes. Zbl 0928.35057
Li, Yan Yan
1999
Yamabe type equations on three-dimensional Riemannian manifolds. Zbl 0973.53029
Li, Yanyan; Zhu, Meijun
1999
...and 46 more Documents
all top 5

#### Cited by 1,736 Authors

 66 Wei, Juncheng 64 Li, YanYan 46 Lin, Chang-Shou 44 Pistoia, Angela 32 Malchiodi, Andrea 32 Musso, Monica 29 Bao, Jiguang 26 Bartolucci, Daniele 26 Yan, Shusen 24 Chtioui, Hichem 24 Zhang, Lei 22 Ben Ayed, Mohamed 21 Byeon, Jaeyoung 21 D’Aprile, Teresa 20 Del Pino, Manuel A. 19 Li, Haigang 19 Wang, Guofang 19 Xiong, Jingang 18 Grossi, Massimo 17 Hebey, Emmanuel 17 Zou, Wenming 16 Clapp, Mónica 16 Dai, Limei 16 Ding, Yanheng 16 Lei, Yutian 16 Ould Ahmedou, Mohameden 15 Chen, Wenxiong 15 Dou, Jingbo 15 Passaseo, Donato 15 Zhu, Meijun 14 Ammari, Habib M. 14 Cao, Daomin 14 Jin, Tianling 14 Kang, Hyeonbae 14 Li, Dongsheng 14 Molle, Riccardo 14 Yang, Wen 13 Deng, Shengbing 13 Guo, Yuxia 13 Jevnikar, Aleks 13 Kim, Seunghyeok 13 Nguyen, Luc 13 Tang, Zhongwei 13 Wang, Chunhua 13 Wang, Lihe 13 Weth, Tobias 13 Zhou, Chunqin 12 Dong, Hongjie 12 Esposito, Pierpaolo 12 Guan, Pengfei 12 Pacella, Filomena 12 Tarantello, Gabriella 11 Abdelhedi, Wael 11 Byun, Sun-Sig 11 Cerami, Giovanna 11 El Mehdi, Khalil O. 11 Lee, Youngae 11 Micheletti, Anna Maria 11 Trudinger, Neil Sidney 11 Yu, Xiaohui 10 Bahoura, Samy Skander 10 Dai, Wei 10 Druet, Olivier 10 Khuri, Marcus A. 10 Li, Congming 10 Lim, Mikyoung 10 Lu, Guozhen 10 Peng, Shuangjie 10 Ruiz, David 10 Tanaka, Kazunaga 10 Yang, Jianfu 10 Yun, Kihyun 9 Bartsch, Thomas J. 9 Beretta, Elena 9 Chen, Xuezhang 9 Francini, Elisa 9 Hammami, Mokhless 9 Leung, Man Chun 9 Miyagaki, Olimpio Hiroshi 9 Montenegro, Marcos 9 Noussair, Ezzat S. 9 Robert, Frédéric 9 Thizy, Pierre-Damien 9 Vitolo, Antonio 9 Xu, Junxiang 9 Zhang, Fubao 8 Ackermann, Nils 8 Brézis, Haïm 8 Choi, Woocheol 8 Cotsiolis, Athanase 8 de Marchis, Francesca 8 Do Ó, João M. Bezerra 8 Felmer, Patricio L. 8 Gui, Changfeng 8 Ho, Pak Tung 8 Jost, Jürgen 8 Labropoulos, Nikos 8 Li, Gongbao 8 Martinazzi, Luca 8 Suzuki, Takashi ...and 1,636 more Authors
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#### Cited in 228 Serials

 201 Journal of Differential Equations 177 Calculus of Variations and Partial Differential Equations 134 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 110 Journal of Mathematical Analysis and Applications 109 Journal of Functional Analysis 66 Communications in Partial Differential Equations 63 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 58 Discrete and Continuous Dynamical Systems 54 Communications in Contemporary Mathematics 50 Advances in Mathematics 44 Communications on Pure and Applied Analysis 41 Archive for Rational Mechanics and Analysis 40 Journal de Mathématiques Pures et Appliquées. Neuvième Série 35 Transactions of the American Mathematical Society 33 Proceedings of the American Mathematical Society 26 Advanced Nonlinear Studies 25 Communications on Pure and Applied Mathematics 24 Mathematische Annalen 23 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Communications in Mathematical Physics 21 Manuscripta Mathematica 21 Mathematische Zeitschrift 20 Duke Mathematical Journal 19 NoDEA. Nonlinear Differential Equations and Applications 18 Science China. Mathematics 17 The Journal of Geometric Analysis 17 SIAM Journal on Mathematical Analysis 17 Complex Variables and Elliptic Equations 14 Journal of the European Mathematical Society (JEMS) 14 Boundary Value Problems 13 Revista Matemática Iberoamericana 12 Journal d’Analyse Mathématique 12 Journal of Mathematical Physics 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Advances in Nonlinear Analysis 10 Differential Geometry and its Applications 9 Mathematische Nachrichten 9 Bulletin des Sciences Mathématiques 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Annales Henri Poincaré 9 Multiscale Modeling & Simulation 9 Nonlinear Analysis. Theory, Methods & Applications 8 Applicable Analysis 8 Chinese Annals of Mathematics. Series B 8 Annals of Global Analysis and Geometry 8 Applied Mathematics Letters 8 Abstract and Applied Analysis 8 Journal of Fixed Point Theory and Applications 7 Computers & Mathematics with Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Quarterly of Applied Mathematics 7 Potential Analysis 7 Journal of Mathematical Sciences (New York) 7 Acta Mathematica Sinica. English Series 7 Nonlinear Analysis. Real World Applications 6 Mathematical Methods in the Applied Sciences 6 Nonlinearity 6 Acta Mathematica 6 Inventiones Mathematicae 6 Pacific Journal of Mathematics 6 Engineering Analysis with Boundary Elements 5 General Relativity and Gravitation 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Memoirs of the American Mathematical Society 5 Acta Mathematicae Applicatae Sinica. English Series 5 International Journal of Mathematics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Discrete and Continuous Dynamical Systems. Series B 5 Milan Journal of Mathematics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Frontiers of Mathematics in China 5 Discrete and Continuous Dynamical Systems. Series S 4 Applied Mathematics and Computation 4 Archiv der Mathematik 4 Journal of Computational and Applied Mathematics 4 Journal für die Reine und Angewandte Mathematik 4 Geometric and Functional Analysis. GAFA 4 Topological Methods in Nonlinear Analysis 4 Taiwanese Journal of Mathematics 4 Mathematical Inequalities & Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Arabian Journal of Mathematics 4 SN Partial Differential Equations and Applications 3 Classical and Quantum Gravity 3 Mathematics of Computation 3 Journal of Geometry and Physics 3 Annales de l’Institut Fourier 3 Indiana University Mathematics Journal 3 Publications Mathématiques 3 Monatshefte für Mathematik 3 Journal of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 International Journal of Computational Methods 3 Analysis & PDE 3 Journal of Theoretical Biology 3 Communications in Mathematics and Statistics ...and 128 more Serials
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#### Cited in 51 Fields

 1,724 Partial differential equations (35-XX) 367 Differential geometry (53-XX) 367 Global analysis, analysis on manifolds (58-XX) 92 Operator theory (47-XX) 91 Calculus of variations and optimal control; optimization (49-XX) 77 Functional analysis (46-XX) 72 Integral equations (45-XX) 65 Fluid mechanics (76-XX) 59 Mechanics of deformable solids (74-XX) 45 Real functions (26-XX) 45 Relativity and gravitational theory (83-XX) 43 Optics, electromagnetic theory (78-XX) 42 Numerical analysis (65-XX) 41 Quantum theory (81-XX) 37 Ordinary differential equations (34-XX) 37 Biology and other natural sciences (92-XX) 33 Dynamical systems and ergodic theory (37-XX) 25 Potential theory (31-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Astronomy and astrophysics (85-XX) 18 Convex and discrete geometry (52-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Functions of a complex variable (30-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Algebraic topology (55-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Mechanics of particles and systems (70-XX) 8 Manifolds and cell complexes (57-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 6 Geometry (51-XX) 5 Systems theory; control (93-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Topological groups, Lie groups (22-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-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 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX)

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