Li, Peter

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 Author ID: li.peter Published as: Li, Peter; Li, P.; Li, Peter Wai-Kwong more...less External Links: MGP · Wikidata · IdRef
 Documents Indexed: 97 Publications since 1979, including 3 Books 6 Contributions as Editor Co-Authors: 23 Co-Authors with 62 Joint Publications 794 Co-Co-Authors
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Co-Authors

 25 single-authored 20 Wang, Jiaping 13 Yau, Shing-Tung 12 Tam, Luen-Fai 7 Schoen, Richard Melvin 6 Ji, Lizhen 4 Cheng, Shiu-Yuen 4 Donnelly, Harold 3 Simon, Leon Melvin 3 Uren, Norman F. 2 Chung, Kai Lai 2 Liu, Kefeng 2 Stagnitti, Frank 2 Tian, Gang 2 Treibergs, Andrejs E. 1 Bourguignon, Jean-Pierre 1 Chan, Swee Hong 1 Chen, Roger R. C. 1 Chern, Shiing-Shen 1 Fabri, Simon G. 1 Greco, Lila 1 Guo, Yong 1 Jaward, M. H. 1 Kadirkamanathan, Visakan 1 Kong, Shengli 1 Levine, Lionel 1 Mynttinen, I. 1 Ramachandran, Mohan 1 Runge, Erich 1 Williams, Ruth J. 1 Yang, DaGang 1 Zhen, W. Q. 1 Zhong, Jia-qing 1 Zhou, Detang
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Serials

 13 Journal of Differential Geometry 6 Inventiones Mathematicae 6 Mathematical Research Letters 5 American Journal of Mathematics 5 Advanced Lectures in Mathematics (ALM) 4 Commentarii Mathematici Helvetici 4 Mathematical and Computer Modelling 4 Annals of Mathematics. Second Series 3 Indiana University Mathematics Journal 3 Transactions of the American Mathematical Society 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 The Asian Journal of Mathematics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Systems Science 1 Journal of Statistical Physics 1 Physica A 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Compositio Mathematica 1 Fasciculi Mathematici 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Expositiones Mathematicae 1 Journal of Difference Equations and Applications 1 Multibody System Dynamics 1 Optimization and Engineering 1 Quantitative Finance 1 Iranian Journal of Fuzzy Systems 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes Series, Seoul
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Fields

 67 Differential geometry (53-XX) 57 Global analysis, analysis on manifolds (58-XX) 29 Partial differential equations (35-XX) 10 Potential theory (31-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

83 Publications have been cited 2,539 times in 1,741 Documents Cited by Year
On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045
Li, Peter; Yau, Shing Tung
1986
On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029
Li, Peter; Yau, Shing-Tung
1983
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042
Li, Peter; Yau, Shing-Tung
1982
$$L^ p$$ and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
1984
Harmonic functions and the structure of complete manifolds. Zbl 0768.53018
Li, Peter; Tam, Luen-Fai
1992
On the Sobolev constant and the p-spectrum of a compact Riemannian manifold. Zbl 0466.53023
Li, Peter
1980
On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035
Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung
1981
The heat equation and harmonic maps of complete manifolds. Zbl 0748.58006
Li, Peter; Tam, Luen-Fai
1991
Geometric analysis. Zbl 1246.53002
Li, Peter
2012
Lecture Notes on geometric analysis. Zbl 0822.58001
Li, Peter
1993
Complete manifolds with positive spectrum. Zbl 1032.58016
Li, Peter; Wang, Jiaping
2001
Weighted Poincaré inequality and rigidity of complete manifolds. Zbl 1120.53018
Li, Peter; Wang, Jiaping
2006
Pure point spectrum and negative curvature for noncompact manifolds. Zbl 0416.58025
Donnelly, Harold; Li, Peter
1979
Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature. Zbl 0613.58032
Li, Peter
1986
Curvature and function theory on Riemannian manifolds. Zbl 1066.53084
Li, Peter
2000
Minimal hypersurfaces with finite index. Zbl 1019.53025
Li, Peter; Wang, Jiaping
2002
Symmetric Green’s functions on complete manifolds. Zbl 0634.58033
Li, Peter; Tam, Luen-Fai
1987
Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040
Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung
1994
Green’s functions, harmonic functions, and volume comparison. Zbl 0827.53033
Li, Peter; Tam, Luen-Fai
1995
Heat equations on minimal submanifolds and their applications. Zbl 0575.53038
Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung
1984
Heat kernel estimates and lower bound of eigenvalues. Zbl 0484.53034
Cheng, Shiu-Yuen; Li, Peter
1981
Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set. Zbl 0622.58001
Li, Peter; Tam, Luen-Fai
1987
Harmonic sections of polynomial growth. Zbl 0880.53039
Li, Peter
1997
Complete manifolds with positive spectrum. II. Zbl 1073.58023
Li, Peter; Wang, Jiaping
2002
Eigenvalue estimates on homogeneous manifolds. Zbl 0451.53036
Li, Peter
1980
Uniqueness of $$L^ 1$$ solutions for the Laplace equation and the heat equation on Riemannian manifolds. Zbl 0561.53045
Li, Peter
1984
Uniqueness and regularity of proper harmonic maps. II. Zbl 0790.58011
Li, Peter; Tam, Luen-fai
1993
Uniqueness and regularity of proper harmonic maps. Zbl 0776.58010
Li, Peter; Tam, Luen-Fai
1993
Complete surfaces with finite total curvature. Zbl 0749.53025
Li, Peter; Tam, Luen-Fai
1991
Estimates of eigenvalues of a compact Riemannian manifold. Zbl 0441.58014
Li, Peter; Yau, Shing-Tung
1980
Lower bounds for the eigenvalues of Riemannian manifolds. Zbl 0488.58022
Donnelly, Harold; Li, Peter
1982
Linear growth harmonic functions on a complete manifold. Zbl 0668.53023
Li, Peter; Tam, Luen-Fai
1989
Comparison theorem for Kähler manifolds and positivity of spectrum. Zbl 1087.53067
Li, Peter; Wang, Jiaping
2005
On the heat kernel of the Bergmann metric on algebraic varieties. Zbl 0864.58058
Li, Peter; Tian, Gang
1995
On the structure of complete Kähler manifolds with nonnegative curvature near infinity. Zbl 0695.53052
Li, Peter
1990
An extended macro model for traffic flow with consideration of multi static bottlenecks. Zbl 1395.90095
Tang, T. Q.; Li, P.; Yang, X. B.
2013
Sharp bounds for the Green’s function and the heat kernel. Zbl 0889.58074
Li, Peter; Tam, Luen-fai; Wang, Jiaping
1997
On the elliptic equation $$\Delta u + ku - Ku^{p} = 0$$ on complete Riemannian manifolds and their geometric applications. Zbl 0896.58059
Li, Peter; Tam, Luen-fai; Yang, DaGang
1998
A lower bound for the first eigenvalue of the Laplacian on a compact manifold. Zbl 0429.35054
Li, Peter
1979
Mean value inequalities. Zbl 1003.58026
Li, Peter; Wang, Jiaping
1999
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
1984
Stable minimal hypersurfaces in a nonnegatively curved manifold. Zbl 1050.53049
Li, Peter; Wang, Jiaping
2004
Harmonic functions of linear growth on Kähler manifolds with nonnegative Ricci curvature. Zbl 0855.58019
Li, Peter
1995
Harmonic functions and applications to complete manifolds. XIV escola de geometria diferencial–XIV school of differential geometry, Salvador, Brazil, July 17–21, 2006. Zbl 1189.53025
Li, Peter Wai-Kwong
2006
A stabilized non-ordinary state-based peridynamic model. Zbl 1440.74028
Li, P.; Hao, Z. M.; Zhen, W. Q.
2018
Curvature and holomorphic mappings of complete Kähler manifolds. Zbl 0701.53082
Li, Peter; Yau, Shing-Tung
1990
Counting dimensions of $$L$$-harmonic functions. Zbl 0996.35020
Li, Peter; Wang, Jiaping
2000
Connectedness at infinity of complete Kähler manifolds. Zbl 1204.53059
Li, Peter; Wang, Jiaping
2009
Particle filtering-based fault detection in nonlinear stochastic systems. Zbl 1012.93064
Kadirkamanathan, V.; Li, P.; Jaward, M. H.; Fabri, S. G.
2002
Spectrum of the Laplacian on quaternionic Kähler manifolds. Zbl 1140.58014
Kong, Shengli; Li, Peter; Zhou, Detang
2008
Finiteness of disjoint minimal graphs. Zbl 0999.05055
Li, Peter; Wang, Jiaping
2001
Counting massive sets and dimensions of harmonic functions. Zbl 1039.53036
Li, Peter; Wang, Jiaping
1999
Harmonic functions on complete Riemannian manifolds. Zbl 1159.53018
Li, Peter
2008
Complete surfaces of at most quadratic area growth. Zbl 1008.53034
Li, Peter
1997
A microstructure-dependent anisotropic magneto-electro-elastic Mindlin plate model based on an extended modified couple stress theory. Zbl 1451.74153
Qu, Y. L.; Li, P.; Zhang, G. Y.; Jin, F.; Gao, X.-L.
2020
Pinching theorem for the first eigenvalue on positively curved manifolds. Zbl 0496.53031
Li, Peter; Zhong, Jia Qing
1981
Harmonic diffeomorphisms between Hadamard manifolds. Zbl 0855.58020
Li, Peter; Tam, Luen-Fai; Wang, Jiaping
1995
On Poincaré type inequalities. Zbl 0954.58022
Chen, Roger; Li, Peter
1997
Implicit co-simulation method for constraint coupling with improved stability behavior. Zbl 1407.70001
Meyer, T.; Li, P.; Lu, D.; Schweizer, B.
2018
Heat equation and compactifications of complete Riemannian manifolds. Zbl 0546.53029
Donnelly, Harold; Li, Peter
1984
Polynomial growth solutions of uniformly elliptic operators of non-divergence form. Zbl 0989.35042
Li, Peter; Wang, Jiaping
2001
The theory of harmonic functions and its relation to geometry. Zbl 0795.31009
Li, Peter
1993
Harmonic rough isometries into Hadamard space. Zbl 0944.58011
Li, Peter; Wang, Jiaping
1998
Minimal immersions of compact irreducible homogeneous Riemannian manifolds. Zbl 0485.53042
Li, Peter
1981
Pinching theorem for the first eigenvalue on positively curved four- manifolds. Zbl 0496.53032
Li, Peter; Treibergs, Andrejs E.
1982
Analytical solution for the point source potential in an anisotropic 3-D half-space. I: Two-horizontal-layer case. Zbl 0898.65091
Li, P.; Uren, N. F.
1997
Lower bounds for the eigenvalues of negatively curved manifolds. Zbl 0413.58020
Donnelly, Harold; Li, Peter
1980
Ends of locally symmetric spaces with maximal bottom spectrum. Zbl 1270.58018
Ji, Lizhen; Li, Peter; Wang, Jiaping
2009
Convex hull properties of harmonic maps. Zbl 0926.58011
Li, Peter; Wang, Jiaping
1998
Counting cusps on complete manifolds of finite volume. Zbl 1247.53037
Li, Peter; Wang, Jiaping
2010
Comparison of probability and eigenvalue methods for the Schrödinger equation. Zbl 0608.60061
Chung, K. L.; Li, Peter
1986
Poincaré inequalities on Riemannian manifolds. Zbl 0492.53031
Li, Peter
1982
On a system of rational difference equations $$x_{n+1} = \frac{x_n-1}{y_n x_{n-1} - 1}, y_{n+1} = \frac{y_n - 1}{x_n y_{n-1} -1}, z_{n+1} = \frac{1}{y_n z_n-1}$$. Zbl 1328.39018
Liu, K.; Li, P.; Zhong, W.
2013
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
A new analytical solution for Laplacian porous-media flow with arbitrary boundary shapes and conditions. Zbl 0876.35026
Li, P.; Stagnitti, F.; Das, U.
1996
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046
Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S.
2020
Asymptotically flat complete Kähler manifolds. Zbl 0799.53074
Li, Peter; Yau, Shing-Tung
1993
Handbook of geometric analysis. No. 1. Zbl 1144.53004
2008
A mathematician and his mathematical work. Selected papers of S. S. Chern. Edited and with a foreword by S. Y. Cheng, P. Li and G. Tian. Zbl 0924.01033
Chern, S. S.
1996
Kähler manifolds with almost nonnegative Ricci curvature. Zbl 0865.53058
Li, Peter; Ramachandran, Mohan
1996
Comparison of probability and classical methods for the Schrödinger equation. Zbl 0623.60097
Chung, K. L.; Li, P.; Williams, R. J.
1986
Analytical solution for the point source potential in an ansiotropic 3-D half-space. II: With two-vertical boundary planes. Zbl 0898.65092
Li, P.; Uren, N. F.
1997
A generalization of Cheng’s theorem. Zbl 1171.53029
Li, Peter; Wang, Jiaping
2008
A microstructure-dependent anisotropic magneto-electro-elastic Mindlin plate model based on an extended modified couple stress theory. Zbl 1451.74153
Qu, Y. L.; Li, P.; Zhang, G. Y.; Jin, F.; Gao, X.-L.
2020
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046
Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S.
2020
A stabilized non-ordinary state-based peridynamic model. Zbl 1440.74028
Li, P.; Hao, Z. M.; Zhen, W. Q.
2018
Implicit co-simulation method for constraint coupling with improved stability behavior. Zbl 1407.70001
Meyer, T.; Li, P.; Lu, D.; Schweizer, B.
2018
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
An extended macro model for traffic flow with consideration of multi static bottlenecks. Zbl 1395.90095
Tang, T. Q.; Li, P.; Yang, X. B.
2013
On a system of rational difference equations $$x_{n+1} = \frac{x_n-1}{y_n x_{n-1} - 1}, y_{n+1} = \frac{y_n - 1}{x_n y_{n-1} -1}, z_{n+1} = \frac{1}{y_n z_n-1}$$. Zbl 1328.39018
Liu, K.; Li, P.; Zhong, W.
2013
Geometric analysis. Zbl 1246.53002
Li, Peter
2012
Counting cusps on complete manifolds of finite volume. Zbl 1247.53037
Li, Peter; Wang, Jiaping
2010
Connectedness at infinity of complete Kähler manifolds. Zbl 1204.53059
Li, Peter; Wang, Jiaping
2009
Ends of locally symmetric spaces with maximal bottom spectrum. Zbl 1270.58018
Ji, Lizhen; Li, Peter; Wang, Jiaping
2009
Spectrum of the Laplacian on quaternionic Kähler manifolds. Zbl 1140.58014
Kong, Shengli; Li, Peter; Zhou, Detang
2008
Harmonic functions on complete Riemannian manifolds. Zbl 1159.53018
Li, Peter
2008
Handbook of geometric analysis. No. 1. Zbl 1144.53004
2008
A generalization of Cheng’s theorem. Zbl 1171.53029
Li, Peter; Wang, Jiaping
2008
Weighted Poincaré inequality and rigidity of complete manifolds. Zbl 1120.53018
Li, Peter; Wang, Jiaping
2006
Harmonic functions and applications to complete manifolds. XIV escola de geometria diferencial–XIV school of differential geometry, Salvador, Brazil, July 17–21, 2006. Zbl 1189.53025
Li, Peter Wai-Kwong
2006
Comparison theorem for Kähler manifolds and positivity of spectrum. Zbl 1087.53067
Li, Peter; Wang, Jiaping
2005
Stable minimal hypersurfaces in a nonnegatively curved manifold. Zbl 1050.53049
Li, Peter; Wang, Jiaping
2004
Minimal hypersurfaces with finite index. Zbl 1019.53025
Li, Peter; Wang, Jiaping
2002
Complete manifolds with positive spectrum. II. Zbl 1073.58023
Li, Peter; Wang, Jiaping
2002
Particle filtering-based fault detection in nonlinear stochastic systems. Zbl 1012.93064
Kadirkamanathan, V.; Li, P.; Jaward, M. H.; Fabri, S. G.
2002
Complete manifolds with positive spectrum. Zbl 1032.58016
Li, Peter; Wang, Jiaping
2001
Finiteness of disjoint minimal graphs. Zbl 0999.05055
Li, Peter; Wang, Jiaping
2001
Polynomial growth solutions of uniformly elliptic operators of non-divergence form. Zbl 0989.35042
Li, Peter; Wang, Jiaping
2001
Curvature and function theory on Riemannian manifolds. Zbl 1066.53084
Li, Peter
2000
Counting dimensions of $$L$$-harmonic functions. Zbl 0996.35020
Li, Peter; Wang, Jiaping
2000
Mean value inequalities. Zbl 1003.58026
Li, Peter; Wang, Jiaping
1999
Counting massive sets and dimensions of harmonic functions. Zbl 1039.53036
Li, Peter; Wang, Jiaping
1999
On the elliptic equation $$\Delta u + ku - Ku^{p} = 0$$ on complete Riemannian manifolds and their geometric applications. Zbl 0896.58059
Li, Peter; Tam, Luen-fai; Yang, DaGang
1998
Harmonic rough isometries into Hadamard space. Zbl 0944.58011
Li, Peter; Wang, Jiaping
1998
Convex hull properties of harmonic maps. Zbl 0926.58011
Li, Peter; Wang, Jiaping
1998
Harmonic sections of polynomial growth. Zbl 0880.53039
Li, Peter
1997
Sharp bounds for the Green’s function and the heat kernel. Zbl 0889.58074
Li, Peter; Tam, Luen-fai; Wang, Jiaping
1997
Complete surfaces of at most quadratic area growth. Zbl 1008.53034
Li, Peter
1997
On Poincaré type inequalities. Zbl 0954.58022
Chen, Roger; Li, Peter
1997
Analytical solution for the point source potential in an anisotropic 3-D half-space. I: Two-horizontal-layer case. Zbl 0898.65091
Li, P.; Uren, N. F.
1997
Analytical solution for the point source potential in an ansiotropic 3-D half-space. II: With two-vertical boundary planes. Zbl 0898.65092
Li, P.; Uren, N. F.
1997
A new analytical solution for Laplacian porous-media flow with arbitrary boundary shapes and conditions. Zbl 0876.35026
Li, P.; Stagnitti, F.; Das, U.
1996
A mathematician and his mathematical work. Selected papers of S. S. Chern. Edited and with a foreword by S. Y. Cheng, P. Li and G. Tian. Zbl 0924.01033
Chern, S. S.
1996
Kähler manifolds with almost nonnegative Ricci curvature. Zbl 0865.53058
Li, Peter; Ramachandran, Mohan
1996
Green’s functions, harmonic functions, and volume comparison. Zbl 0827.53033
Li, Peter; Tam, Luen-Fai
1995
On the heat kernel of the Bergmann metric on algebraic varieties. Zbl 0864.58058
Li, Peter; Tian, Gang
1995
Harmonic functions of linear growth on Kähler manifolds with nonnegative Ricci curvature. Zbl 0855.58019
Li, Peter
1995
Harmonic diffeomorphisms between Hadamard manifolds. Zbl 0855.58020
Li, Peter; Tam, Luen-Fai; Wang, Jiaping
1995
Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040
Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung
1994
Lecture Notes on geometric analysis. Zbl 0822.58001
Li, Peter
1993
Uniqueness and regularity of proper harmonic maps. II. Zbl 0790.58011
Li, Peter; Tam, Luen-fai
1993
Uniqueness and regularity of proper harmonic maps. Zbl 0776.58010
Li, Peter; Tam, Luen-Fai
1993
The theory of harmonic functions and its relation to geometry. Zbl 0795.31009
Li, Peter
1993
Asymptotically flat complete Kähler manifolds. Zbl 0799.53074
Li, Peter; Yau, Shing-Tung
1993
Harmonic functions and the structure of complete manifolds. Zbl 0768.53018
Li, Peter; Tam, Luen-Fai
1992
The heat equation and harmonic maps of complete manifolds. Zbl 0748.58006
Li, Peter; Tam, Luen-Fai
1991
Complete surfaces with finite total curvature. Zbl 0749.53025
Li, Peter; Tam, Luen-Fai
1991
On the structure of complete Kähler manifolds with nonnegative curvature near infinity. Zbl 0695.53052
Li, Peter
1990
Curvature and holomorphic mappings of complete Kähler manifolds. Zbl 0701.53082
Li, Peter; Yau, Shing-Tung
1990
Linear growth harmonic functions on a complete manifold. Zbl 0668.53023
Li, Peter; Tam, Luen-Fai
1989
Symmetric Green’s functions on complete manifolds. Zbl 0634.58033
Li, Peter; Tam, Luen-Fai
1987
Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set. Zbl 0622.58001
Li, Peter; Tam, Luen-Fai
1987
On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045
Li, Peter; Yau, Shing Tung
1986
Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature. Zbl 0613.58032
Li, Peter
1986
Comparison of probability and eigenvalue methods for the Schrödinger equation. Zbl 0608.60061
Chung, K. L.; Li, Peter
1986
Comparison of probability and classical methods for the Schrödinger equation. Zbl 0623.60097
Chung, K. L.; Li, P.; Williams, R. J.
1986
$$L^ p$$ and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
1984
Heat equations on minimal submanifolds and their applications. Zbl 0575.53038
Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung
1984
Uniqueness of $$L^ 1$$ solutions for the Laplace equation and the heat equation on Riemannian manifolds. Zbl 0561.53045
Li, Peter
1984
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
1984
Heat equation and compactifications of complete Riemannian manifolds. Zbl 0546.53029
Donnelly, Harold; Li, Peter
1984
On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029
Li, Peter; Yau, Shing-Tung
1983
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042
Li, Peter; Yau, Shing-Tung
1982
Lower bounds for the eigenvalues of Riemannian manifolds. Zbl 0488.58022
Donnelly, Harold; Li, Peter
1982
Pinching theorem for the first eigenvalue on positively curved four- manifolds. Zbl 0496.53032
Li, Peter; Treibergs, Andrejs E.
1982
Poincaré inequalities on Riemannian manifolds. Zbl 0492.53031
Li, Peter
1982
On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035
Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung
1981
Heat kernel estimates and lower bound of eigenvalues. Zbl 0484.53034
Cheng, Shiu-Yuen; Li, Peter
1981
Pinching theorem for the first eigenvalue on positively curved manifolds. Zbl 0496.53031
Li, Peter; Zhong, Jia Qing
1981
Minimal immersions of compact irreducible homogeneous Riemannian manifolds. Zbl 0485.53042
Li, Peter
1981
On the Sobolev constant and the p-spectrum of a compact Riemannian manifold. Zbl 0466.53023
Li, Peter
1980
Eigenvalue estimates on homogeneous manifolds. Zbl 0451.53036
Li, Peter
1980
Estimates of eigenvalues of a compact Riemannian manifold. Zbl 0441.58014
Li, Peter; Yau, Shing-Tung
1980
Lower bounds for the eigenvalues of negatively curved manifolds. Zbl 0413.58020
Donnelly, Harold; Li, Peter
1980
Pure point spectrum and negative curvature for noncompact manifolds. Zbl 0416.58025
Donnelly, Harold; Li, Peter
1979
A lower bound for the first eigenvalue of the Laplacian on a compact manifold. Zbl 0429.35054
Li, Peter
1979
all top 5

Cited by 1,575 Authors

 24 Grigor’yan, Alexander Asaturovich 20 Hua, Bobo 20 Zhang, Qi-Shuhuason 18 Nguyễn Thạc Dũng 17 Li, Peter 17 Rigoli, Marco 17 Xia, Changyu 16 Wang, Feng-Yu 14 Ni, Lei 14 Setti, Alberto G. 14 Wang, Jiaping 14 Wu, Jiayong 13 Wang, Qiaoling 12 Lin, Hezi 12 Mari, Luciano 12 Munteanu, Ovidiu 12 Tam, Luen-Fai 12 Xu, Hongwei 11 Chang, Shu-Cheng 11 Cheng, Qingming 11 Ma, Li 11 Tian, Gang 11 Wang, Linfeng 11 Yau, Shing-Tung 10 El Soufi, Ahmad 10 Jost, Jürgen 10 Pigola, Stefano 10 Rubio, Rafael María 9 Carron, Gilles 9 Chen, Hua 9 Han, Yingbo 9 Ilias, Saïd 9 Keller, Matthias 9 Schatzle, Reiner 9 Sung, Chiung-Jue Anna 9 Zhu, Peng 8 Baudoin, Fabrice 8 Cao, Huai-Dong 8 Colbois, Bruno 8 Colding, Tobias Holck 8 Coulhon, Thierry 8 Devyver, Baptiste 8 Fang, Shouwen 8 Harrell, Evans M. II 8 Huang, Guangyue 8 Laptev, Ari 8 Li, Haizhong 8 Li, Xiang-Dong 8 Lu, Zhiqin 8 Bessa, Gregório Pacelli 8 Pinchover, Yehuda 8 Saloff-Coste, Laurent 8 Stepanov, Sergeĭ Evgen’evich 8 Wei, Guofang 8 Yolcu, Selma Yıldırım 8 Yolcu, Turkay 8 Zhang, Liangdi 8 Zhang, Xi 7 Biliotti, Leonardo 7 Chen, Xiuxiong 7 Chow, Bennett 7 Enciso, Alberto 7 Frank, Rupert L. 7 Jiang, Renjin 7 Lin, Yong 7 Qian, Bin 7 Romero, Alfonso 7 Sun, Hejun 7 Xu, Guoyi 7 Yu, Chengjie 7 Zhou, Detang 6 Atsuji, Atsushi 6 Cao, Xiaodong 6 Cheng, Xu 6 Donnelly, Harold 6 Fu, Haiping 6 Garofalo, Nicola 6 Gimeno, Vicent 6 Holopainen, Ilkka 6 Ji, Lizhen 6 Karpukhin, Mikhail A. 6 Lamm, Tobias 6 Laugesen, Richard Snyder 6 Li, Songying 6 Minicozzi, William Philip II 6 Wang, Kui 6 Weidl, Timo 5 Arroja Neves, André 5 Bakry, Dominique 5 Chen, Binglong 5 Chen, Daguang 5 Chen, Hongge 5 Chen, Li 5 Choe, Jaigyoung 5 Fan, Xu-Qian 5 Ghigi, Alessandro 5 Hou, Songbo 5 Ledoux, Michel 5 Liu, Gang 5 Lohoué, Noël ...and 1,475 more Authors
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Cited in 255 Serials

 102 The Journal of Geometric Analysis 95 Proceedings of the American Mathematical Society 65 Transactions of the American Mathematical Society 61 Journal of Functional Analysis 52 Mathematische Zeitschrift 51 Annals of Global Analysis and Geometry 49 Calculus of Variations and Partial Differential Equations 45 Mathematische Annalen 44 Journal of Mathematical Analysis and Applications 37 Advances in Mathematics 33 Duke Mathematical Journal 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Communications in Mathematical Physics 27 Inventiones Mathematicae 27 Potential Analysis 25 Geometriae Dedicata 24 Annales de l’Institut Fourier 24 Communications in Partial Differential Equations 22 Journal of Mathematical Physics 22 Journal of Geometry and Physics 22 Acta Mathematica Sinica. English Series 20 Manuscripta Mathematica 20 Geometric and Functional Analysis. GAFA 19 Journal für die Reine und Angewandte Mathematik 19 Differential Geometry and its Applications 18 Tôhoku Mathematical Journal. Second Series 18 Chinese Annals of Mathematics. Series B 17 Archiv der Mathematik 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Bulletin of the American Mathematical Society. New Series 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Results in Mathematics 13 Journal of the American Mathematical Society 13 Science China. Mathematics 12 Journal of Differential Equations 12 Revista Matemática Iberoamericana 11 The Annals of Probability 9 Compositio Mathematica 9 Pacific Journal of Mathematics 9 International Journal of Mathematics 9 Communications in Contemporary Mathematics 8 Archive for Rational Mechanics and Analysis 8 Israel Journal of Mathematics 8 Journal d’Analyse Mathématique 8 Journal of the Mathematical Society of Japan 8 Applied Mathematics. Series B (English Edition) 8 Discrete and Continuous Dynamical Systems 8 Mathematical Physics, Analysis and Geometry 8 Journal of Inequalities and Applications 8 Mediterranean Journal of Mathematics 7 Bulletin of the Australian Mathematical Society 7 Letters in Mathematical Physics 7 Arkiv för Matematik 7 Acta Mathematica 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Geometry & Topology 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 7 Annales Henri Poincaré 7 Journal of Evolution Equations 6 Communications on Pure and Applied Mathematics 6 Rocky Mountain Journal of Mathematics 6 Probability Theory and Related Fields 6 Science in China. Series A 6 Bulletin des Sciences Mathématiques 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications on Pure and Applied Analysis 5 Applicable Analysis 5 Nagoya Mathematical Journal 5 Bulletin of the Korean Mathematical Society 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Frontiers of Mathematics in China 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Reviews in Mathematical Physics 4 Kodai Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Acta Applicandae Mathematicae 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Stochastic Processes and their Applications 4 Chinese Science Bulletin 4 Journal of Mathematical Sciences (New York) 4 The Journal of Fourier Analysis and Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Advanced Nonlinear Studies 4 Bulletin of Mathematical Sciences 3 Journal of Statistical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Anais da Academia Brasileira de Ciências 3 Annales Polonici Mathematici 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Integral Equations and Operator Theory 3 Journal of Geometry 3 Memoirs of the American Mathematical Society 3 Tokyo Journal of Mathematics 3 Journal of Complexity ...and 155 more Serials
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Cited in 49 Fields

 942 Differential geometry (53-XX) 747 Global analysis, analysis on manifolds (58-XX) 645 Partial differential equations (35-XX) 113 Potential theory (31-XX) 112 Several complex variables and analytic spaces (32-XX) 110 Probability theory and stochastic processes (60-XX) 90 Operator theory (47-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 47 Functions of a complex variable (30-XX) 47 Quantum theory (81-XX) 44 Functional analysis (46-XX) 34 Combinatorics (05-XX) 33 Manifolds and cell complexes (57-XX) 29 Real functions (26-XX) 28 Algebraic geometry (14-XX) 28 Topological groups, Lie groups (22-XX) 25 Abstract harmonic analysis (43-XX) 22 Measure and integration (28-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Numerical analysis (65-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Convex and discrete geometry (52-XX) 18 Mechanics of deformable solids (74-XX) 16 Ordinary differential equations (34-XX) 14 Fluid mechanics (76-XX) 14 Relativity and gravitational theory (83-XX) 11 Number theory (11-XX) 10 Group theory and generalizations (20-XX) 6 Difference and functional equations (39-XX) 6 Geometry (51-XX) 6 Mechanics of particles and systems (70-XX) 6 Systems theory; control (93-XX) 5 Special functions (33-XX) 5 Biology and other natural sciences (92-XX) 4 General topology (54-XX) 4 Algebraic topology (55-XX) 4 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral equations (45-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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