Edit Profile (opens in new tab) Li, Peter Co-Author Distance Author ID: li.peter Published as: Li, Peter; Li, P.; Li, Peter Wai-Kwong more...less External Links: MGP · Wikidata · IdRef Documents Indexed: 88 Publications since 1979, including 3 Books 6 Contributions as Editor Co-Authors: 23 Co-Authors with 62 Joint Publications 822 Co-Co-Authors all top 5 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 2 Chung, Kai Lai 2 Liu, Kefeng 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 Greco, Lila 1 Guo, Yong 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 all top 5 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 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 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 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 Expositiones Mathematicae 1 Journal of Difference Equations and Applications 1 Optimization and Engineering 1 Iranian Journal of Fuzzy Systems 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes Series, Seoul all top 5 Fields 67 Differential geometry (53-XX) 57 Global analysis, analysis on manifolds (58-XX) 25 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) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 2,747 times in 1,927 Documents Cited by ▼ Year ▼ On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045Li, Peter; Yau, Shing Tung 490 1986 On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029Li, Peter; Yau, Shing-Tung 212 1983 A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042Li, Peter; Yau, Shing-Tung 187 1982 \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005Li, Peter; Schoen, Richard 103 1984 Geometric analysis. Zbl 1246.53002Li, Peter 98 2012 Harmonic functions and the structure of complete manifolds. Zbl 0768.53018Li, Peter; Tam, Luen-Fai 95 1992 On the Sobolev constant and the p-spectrum of a compact Riemannian manifold. Zbl 0466.53023Li, Peter 90 1980 On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung 89 1981 The heat equation and harmonic maps of complete manifolds. Zbl 0748.58006Li, Peter; Tam, Luen-Fai 77 1991 Lecture Notes on geometric analysis. Zbl 0822.58001Li, Peter 70 1993 Complete manifolds with positive spectrum. Zbl 1032.58016Li, Peter; Wang, Jiaping 65 2001 Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature. Zbl 0613.58032Li, Peter 62 1986 Weighted Poincaré inequality and rigidity of complete manifolds. Zbl 1120.53018Li, Peter; Wang, Jiaping 62 2006 Pure point spectrum and negative curvature for noncompact manifolds. Zbl 0416.58025Donnelly, Harold; Li, Peter 57 1979 Curvature and function theory on Riemannian manifolds. Zbl 1066.53084Li, Peter 48 2000 Harmonic sections of polynomial growth. Zbl 0880.53039Li, Peter 45 1997 Minimal hypersurfaces with finite index. Zbl 1019.53025Li, Peter; Wang, Jiaping 45 2002 Symmetric Green’s functions on complete manifolds. Zbl 0634.58033Li, Peter; Tam, Luen-Fai 44 1987 Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung 41 1994 Heat equations on minimal submanifolds and their applications. Zbl 0575.53038Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung 40 1984 Heat kernel estimates and lower bound of eigenvalues. Zbl 0484.53034Cheng, Shiu-Yuen; Li, Peter 39 1981 Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set. Zbl 0622.58001Li, Peter; Tam, Luen-Fai 38 1987 Green’s functions, harmonic functions, and volume comparison. Zbl 0827.53033Li, Peter; Tam, Luen-Fai 38 1995 Eigenvalue estimates on homogeneous manifolds. Zbl 0451.53036Li, Peter 38 1980 Estimates of eigenvalues of a compact Riemannian manifold. Zbl 0441.58014Li, Peter; Yau, Shing-Tung 37 1980 Complete manifolds with positive spectrum. II. Zbl 1073.58023Li, Peter; Wang, Jiaping 36 2002 Uniqueness of \(L^ 1\) solutions for the Laplace equation and the heat equation on Riemannian manifolds. Zbl 0561.53045Li, Peter 33 1984 Uniqueness and regularity of proper harmonic maps. Zbl 0776.58010Li, Peter; Tam, Luen-Fai 30 1993 Uniqueness and regularity of proper harmonic maps. II. Zbl 0790.58011Li, Peter; Tam, Luen-fai 30 1993 Complete surfaces with finite total curvature. Zbl 0749.53025Li, Peter; Tam, Luen-Fai 28 1991 Linear growth harmonic functions on a complete manifold. Zbl 0668.53023Li, Peter; Tam, Luen-Fai 25 1989 Comparison theorem for Kähler manifolds and positivity of spectrum. Zbl 1087.53067Li, Peter; Wang, Jiaping 24 2005 Lower bounds for the eigenvalues of Riemannian manifolds. Zbl 0488.58022Donnelly, Harold; Li, Peter 22 1982 On the heat kernel of the Bergmann metric on algebraic varieties. Zbl 0864.58058Li, Peter; Tian, Gang 21 1995 On the structure of complete Kähler manifolds with nonnegative curvature near infinity. Zbl 0695.53052Li, Peter 18 1990 On the elliptic equation \(\Delta u + ku - Ku^{p} = 0\) on complete Riemannian manifolds and their geometric applications. Zbl 0896.58059Li, Peter; Tam, Luen-fai; Yang, DaGang 17 1998 A stabilized non-ordinary state-based peridynamic model. Zbl 1440.74028Li, P.; Hao, Z. M.; Zhen, W. Q. 17 2018 An extended macro model for traffic flow with consideration of multi static bottlenecks. Zbl 1395.90095Tang, T. Q.; Li, P.; Yang, X. B. 17 2013 Stable minimal hypersurfaces in a nonnegatively curved manifold. Zbl 1050.53049Li, Peter; Wang, Jiaping 16 2004 A lower bound for the first eigenvalue of the Laplacian on a compact manifold. Zbl 0429.35054Li, Peter 16 1979 Sharp bounds for the Green’s function and the heat kernel. Zbl 0889.58074Li, Peter; Tam, Luen-fai; Wang, Jiaping 16 1997 Mean value inequalities. Zbl 1003.58026Li, Peter; Wang, Jiaping 16 1999 On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020Li, Peter; Schoen, Richard; Yau, Shing-Tung 15 1984 Harmonic functions of linear growth on Kähler manifolds with nonnegative Ricci curvature. Zbl 0855.58019Li, Peter 14 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 1189.53025Li, Peter Wai-Kwong 13 2006 Harmonic functions on complete Riemannian manifolds. Zbl 1159.53018Li, Peter 11 2008 Curvature and holomorphic mappings of complete Kähler manifolds. Zbl 0701.53082Li, Peter; Yau, Shing-Tung 11 1990 Counting dimensions of \(L\)-harmonic functions. Zbl 0996.35020Li, Peter; Wang, Jiaping 10 2000 Finiteness of disjoint minimal graphs. Zbl 0999.05055Li, Peter; Wang, Jiaping 9 2001 Connectedness at infinity of complete Kähler manifolds. Zbl 1204.53059Li, Peter; Wang, Jiaping 9 2009 Spectrum of the Laplacian on quaternionic Kähler manifolds. Zbl 1140.58014Kong, Shengli; Li, Peter; Zhou, Detang 9 2008 Counting massive sets and dimensions of harmonic functions. Zbl 1039.53036Li, Peter; Wang, Jiaping 8 1999 Complete surfaces of at most quadratic area growth. Zbl 1008.53034Li, Peter 7 1997 On Poincaré type inequalities. Zbl 0954.58022Chen, Roger; Li, Peter 7 1997 Pinching theorem for the first eigenvalue on positively curved manifolds. Zbl 0496.53031Li, Peter; Zhong, Jia Qing 6 1981 Harmonic diffeomorphisms between Hadamard manifolds. Zbl 0855.58020Li, Peter; Tam, Luen-Fai; Wang, Jiaping 6 1995 Heat equation and compactifications of complete Riemannian manifolds. Zbl 0546.53029Donnelly, Harold; Li, Peter 5 1984 Polynomial growth solutions of uniformly elliptic operators of non-divergence form. Zbl 0989.35042Li, Peter; Wang, Jiaping 5 2001 The theory of harmonic functions and its relation to geometry. Zbl 0795.31009Li, Peter 4 1993 Minimal immersions of compact irreducible homogeneous Riemannian manifolds. Zbl 0485.53042Li, Peter 4 1981 Pinching theorem for the first eigenvalue on positively curved four- manifolds. Zbl 0496.53032Li, Peter; Treibergs, Andrejs E. 4 1982 Convex hull properties of harmonic maps. Zbl 0926.58011Li, Peter; Wang, Jiaping 4 1998 Harmonic rough isometries into Hadamard space. Zbl 0944.58011Li, Peter; Wang, Jiaping 4 1998 Lower bounds for the eigenvalues of negatively curved manifolds. Zbl 0413.58020Donnelly, Harold; Li, Peter 4 1980 Comparison of probability and eigenvalue methods for the Schrödinger equation. Zbl 0608.60061Chung, K. L.; Li, Peter 3 1986 Poincaré inequalities on Riemannian manifolds. Zbl 0492.53031Li, Peter 3 1982 Ends of locally symmetric spaces with maximal bottom spectrum. Zbl 1270.58018Ji, Lizhen; Li, Peter; Wang, Jiaping 3 2009 Counting cusps on complete manifolds of finite volume. Zbl 1247.53037Li, Peter; Wang, Jiaping 3 2010 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046Yau, Shing-Tung 2 2014 Random walks with local memory. Zbl 1468.60055Chan, Swee Hong; Greco, Lila; Levine, Lionel; Li, Peter 2 2021 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 1328.39018Liu, K.; Li, P.; Zhong, W. 2 2013 Comparison of probability and classical methods for the Schrödinger equation. Zbl 0623.60097Chung, K. L.; Li, P.; Williams, R. J. 1 1986 Asymptotically flat complete Kähler manifolds. Zbl 0799.53074Li, Peter; Yau, Shing-Tung 1 1993 A generalization of Cheng’s theorem. Zbl 1171.53029Li, Peter; Wang, Jiaping 1 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 0924.01033Chern, S. S. 1 1996 Kähler manifolds with almost nonnegative Ricci curvature. Zbl 0865.53058Li, Peter; Ramachandran, Mohan 1 1996 Harmonic functions on complete Riemannian manifolds. Zbl 0893.58018Li, Peter 1 1997 Selected expository works of Shing-Tung Yau with commentary. Volume I. Zbl 1401.01045Yau, Shing-Tung 1 2014 Handbook of geometric analysis. No. 1. Zbl 1144.53004 1 2008 Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S. 1 2020 Random walks with local memory. Zbl 1468.60055Chan, Swee Hong; Greco, Lila; Levine, Lionel; Li, Peter 2 2021 Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S. 1 2020 A stabilized non-ordinary state-based peridynamic model. Zbl 1440.74028Li, P.; Hao, Z. M.; Zhen, W. Q. 17 2018 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046Yau, Shing-Tung 2 2014 Selected expository works of Shing-Tung Yau with commentary. Volume I. Zbl 1401.01045Yau, Shing-Tung 1 2014 An extended macro model for traffic flow with consideration of multi static bottlenecks. Zbl 1395.90095Tang, T. Q.; Li, P.; Yang, X. B. 17 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 1328.39018Liu, K.; Li, P.; Zhong, W. 2 2013 Geometric analysis. Zbl 1246.53002Li, Peter 98 2012 Counting cusps on complete manifolds of finite volume. Zbl 1247.53037Li, Peter; Wang, Jiaping 3 2010 Connectedness at infinity of complete Kähler manifolds. Zbl 1204.53059Li, Peter; Wang, Jiaping 9 2009 Ends of locally symmetric spaces with maximal bottom spectrum. Zbl 1270.58018Ji, Lizhen; Li, Peter; Wang, Jiaping 3 2009 Harmonic functions on complete Riemannian manifolds. Zbl 1159.53018Li, Peter 11 2008 Spectrum of the Laplacian on quaternionic Kähler manifolds. Zbl 1140.58014Kong, Shengli; Li, Peter; Zhou, Detang 9 2008 A generalization of Cheng’s theorem. Zbl 1171.53029Li, Peter; Wang, Jiaping 1 2008 Handbook of geometric analysis. No. 1. Zbl 1144.53004 1 2008 Weighted Poincaré inequality and rigidity of complete manifolds. Zbl 1120.53018Li, Peter; Wang, Jiaping 62 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 1189.53025Li, Peter Wai-Kwong 13 2006 Comparison theorem for Kähler manifolds and positivity of spectrum. Zbl 1087.53067Li, Peter; Wang, Jiaping 24 2005 Stable minimal hypersurfaces in a nonnegatively curved manifold. Zbl 1050.53049Li, Peter; Wang, Jiaping 16 2004 Minimal hypersurfaces with finite index. Zbl 1019.53025Li, Peter; Wang, Jiaping 45 2002 Complete manifolds with positive spectrum. II. Zbl 1073.58023Li, Peter; Wang, Jiaping 36 2002 Complete manifolds with positive spectrum. Zbl 1032.58016Li, Peter; Wang, Jiaping 65 2001 Finiteness of disjoint minimal graphs. Zbl 0999.05055Li, Peter; Wang, Jiaping 9 2001 Polynomial growth solutions of uniformly elliptic operators of non-divergence form. Zbl 0989.35042Li, Peter; Wang, Jiaping 5 2001 Curvature and function theory on Riemannian manifolds. Zbl 1066.53084Li, Peter 48 2000 Counting dimensions of \(L\)-harmonic functions. Zbl 0996.35020Li, Peter; Wang, Jiaping 10 2000 Mean value inequalities. Zbl 1003.58026Li, Peter; Wang, Jiaping 16 1999 Counting massive sets and dimensions of harmonic functions. Zbl 1039.53036Li, Peter; Wang, Jiaping 8 1999 On the elliptic equation \(\Delta u + ku - Ku^{p} = 0\) on complete Riemannian manifolds and their geometric applications. Zbl 0896.58059Li, Peter; Tam, Luen-fai; Yang, DaGang 17 1998 Convex hull properties of harmonic maps. Zbl 0926.58011Li, Peter; Wang, Jiaping 4 1998 Harmonic rough isometries into Hadamard space. Zbl 0944.58011Li, Peter; Wang, Jiaping 4 1998 Harmonic sections of polynomial growth. Zbl 0880.53039Li, Peter 45 1997 Sharp bounds for the Green’s function and the heat kernel. Zbl 0889.58074Li, Peter; Tam, Luen-fai; Wang, Jiaping 16 1997 Complete surfaces of at most quadratic area growth. Zbl 1008.53034Li, Peter 7 1997 On Poincaré type inequalities. Zbl 0954.58022Chen, Roger; Li, Peter 7 1997 Harmonic functions on complete Riemannian manifolds. Zbl 0893.58018Li, Peter 1 1997 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 0924.01033Chern, S. S. 1 1996 Kähler manifolds with almost nonnegative Ricci curvature. Zbl 0865.53058Li, Peter; Ramachandran, Mohan 1 1996 Green’s functions, harmonic functions, and volume comparison. Zbl 0827.53033Li, Peter; Tam, Luen-Fai 38 1995 On the heat kernel of the Bergmann metric on algebraic varieties. Zbl 0864.58058Li, Peter; Tian, Gang 21 1995 Harmonic functions of linear growth on Kähler manifolds with nonnegative Ricci curvature. Zbl 0855.58019Li, Peter 14 1995 Harmonic diffeomorphisms between Hadamard manifolds. Zbl 0855.58020Li, Peter; Tam, Luen-Fai; Wang, Jiaping 6 1995 Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung 41 1994 Lecture Notes on geometric analysis. Zbl 0822.58001Li, Peter 70 1993 Uniqueness and regularity of proper harmonic maps. Zbl 0776.58010Li, Peter; Tam, Luen-Fai 30 1993 Uniqueness and regularity of proper harmonic maps. II. Zbl 0790.58011Li, Peter; Tam, Luen-fai 30 1993 The theory of harmonic functions and its relation to geometry. Zbl 0795.31009Li, Peter 4 1993 Asymptotically flat complete Kähler manifolds. Zbl 0799.53074Li, Peter; Yau, Shing-Tung 1 1993 Harmonic functions and the structure of complete manifolds. Zbl 0768.53018Li, Peter; Tam, Luen-Fai 95 1992 The heat equation and harmonic maps of complete manifolds. Zbl 0748.58006Li, Peter; Tam, Luen-Fai 77 1991 Complete surfaces with finite total curvature. Zbl 0749.53025Li, Peter; Tam, Luen-Fai 28 1991 On the structure of complete Kähler manifolds with nonnegative curvature near infinity. Zbl 0695.53052Li, Peter 18 1990 Curvature and holomorphic mappings of complete Kähler manifolds. Zbl 0701.53082Li, Peter; Yau, Shing-Tung 11 1990 Linear growth harmonic functions on a complete manifold. Zbl 0668.53023Li, Peter; Tam, Luen-Fai 25 1989 Symmetric Green’s functions on complete manifolds. Zbl 0634.58033Li, Peter; Tam, Luen-Fai 44 1987 Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set. Zbl 0622.58001Li, Peter; Tam, Luen-Fai 38 1987 On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045Li, Peter; Yau, Shing Tung 490 1986 Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature. Zbl 0613.58032Li, Peter 62 1986 Comparison of probability and eigenvalue methods for the Schrödinger equation. Zbl 0608.60061Chung, K. L.; Li, Peter 3 1986 Comparison of probability and classical methods for the Schrödinger equation. Zbl 0623.60097Chung, K. L.; Li, P.; Williams, R. J. 1 1986 \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005Li, Peter; Schoen, Richard 103 1984 Heat equations on minimal submanifolds and their applications. Zbl 0575.53038Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung 40 1984 Uniqueness of \(L^ 1\) solutions for the Laplace equation and the heat equation on Riemannian manifolds. Zbl 0561.53045Li, Peter 33 1984 On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020Li, Peter; Schoen, Richard; Yau, Shing-Tung 15 1984 Heat equation and compactifications of complete Riemannian manifolds. Zbl 0546.53029Donnelly, Harold; Li, Peter 5 1984 On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029Li, Peter; Yau, Shing-Tung 212 1983 A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042Li, Peter; Yau, Shing-Tung 187 1982 Lower bounds for the eigenvalues of Riemannian manifolds. Zbl 0488.58022Donnelly, Harold; Li, Peter 22 1982 Pinching theorem for the first eigenvalue on positively curved four- manifolds. Zbl 0496.53032Li, Peter; Treibergs, Andrejs E. 4 1982 Poincaré inequalities on Riemannian manifolds. Zbl 0492.53031Li, Peter 3 1982 On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung 89 1981 Heat kernel estimates and lower bound of eigenvalues. Zbl 0484.53034Cheng, Shiu-Yuen; Li, Peter 39 1981 Pinching theorem for the first eigenvalue on positively curved manifolds. Zbl 0496.53031Li, Peter; Zhong, Jia Qing 6 1981 Minimal immersions of compact irreducible homogeneous Riemannian manifolds. Zbl 0485.53042Li, Peter 4 1981 On the Sobolev constant and the p-spectrum of a compact Riemannian manifold. Zbl 0466.53023Li, Peter 90 1980 Eigenvalue estimates on homogeneous manifolds. Zbl 0451.53036Li, Peter 38 1980 Estimates of eigenvalues of a compact Riemannian manifold. Zbl 0441.58014Li, Peter; Yau, Shing-Tung 37 1980 Lower bounds for the eigenvalues of negatively curved manifolds. Zbl 0413.58020Donnelly, Harold; Li, Peter 4 1980 Pure point spectrum and negative curvature for noncompact manifolds. Zbl 0416.58025Donnelly, Harold; Li, Peter 57 1979 A lower bound for the first eigenvalue of the Laplacian on a compact manifold. Zbl 0429.35054Li, Peter 16 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,748 Authors 24 Grigor’yan, Alexander Asaturovich 23 Hua, Bobo 21 Zhang, Qi-Shuhuason 20 Nguyễn Thạc Dũng 18 Xia, Changyu 17 Li, Peter 17 Rigoli, Marco 17 Wu, Jiayong 16 Wang, Feng-Yu 15 Ni, Lei 15 Wang, Jiaping 14 Ma, Li 14 Setti, Alberto G. 14 Wang, Qiaoling 13 Munteanu, Ovidiu 13 Xu, Hongwei 12 Chang, Shu-Cheng 12 Keller, Matthias 12 Lin, Hezi 12 Mari, Luciano 12 Tam, Luen-Fai 12 Wang, Linfeng 11 Carron, Gilles 11 Cheng, Qingming 11 Jost, Jürgen 11 Rubio, Rafael María 11 Tian, Gang 11 Wei, Guofang 11 Yau, Shing-Tung 10 El Soufi, Ahmad 10 Han, Yingbo 10 Pigola, Stefano 10 Saloff-Coste, Laurent 10 Sung, Chiung-Jue Anna 10 Zhu, Peng 9 Cao, Huai-Dong 9 Chen, Hua 9 Devyver, Baptiste 9 Frank, Rupert L. 9 Ilias, Saïd 9 Lu, Zhiqin 9 Schatzle, Reiner 9 Zhang, Xi 8 Baudoin, Fabrice 8 Chen, Xiuxiong 8 Colbois, Bruno 8 Colding, Tobias Holck 8 Coulhon, Thierry 8 Fang, Shouwen 8 Harrell, Evans M. II 8 Huang, Guangyue 8 Laptev, Ari 8 Li, Haizhong 8 Li, Xiang-Dong 8 Bessa, Gregório Pacelli 8 Pinchover, Yehuda 8 Romero, Alfonso 8 Stepanov, Sergeĭ Evgen’evich 8 Sun, Hejun 8 Xu, Guoyi 8 Yolcu, Selma Yıldırım 8 Yolcu, Turkay 8 Zhang, Liangdi 7 Abolarinwa, Abimbola 7 Biliotti, Leonardo 7 Cao, Xiaodong 7 Chow, Bennett 7 Enciso, Alberto 7 Jiang, Renjin 7 Li, Songying 7 Lin, Yong 7 Mondino, Andrea 7 Qian, Bin 7 Wang, Bing 7 Wang, Kui 7 Yu, Chengjie 7 Zhou, Detang 6 Atsuji, Atsushi 6 Azami, Shahroud 6 Cheng, Xu 6 Dai, Xianzhe 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, Yi 6 Liu, Gang 6 Minicozzi, William Philip II 6 Qian, Zhongmin M. 6 Seo, Keomkyo 6 Weidl, Timo 5 Adamowicz, Tomasz 5 Arroja Neves, André 5 Bakry, Dominique 5 Chen, Binglong ...and 1,648 more Authors all top 5 Cited in 284 Serials 117 The Journal of Geometric Analysis 98 Proceedings of the American Mathematical Society 68 Transactions of the American Mathematical Society 67 Journal of Functional Analysis 56 Calculus of Variations and Partial Differential Equations 54 Mathematische Zeitschrift 54 Annals of Global Analysis and Geometry 47 Journal of Mathematical Analysis and Applications 45 Mathematische Annalen 40 Advances in Mathematics 36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Duke Mathematical Journal 30 Inventiones Mathematicae 29 Potential Analysis 28 Communications in Mathematical Physics 26 Journal of Geometry and Physics 26 Geometriae Dedicata 26 Journal für die Reine und Angewandte Mathematik 24 Journal of Mathematical Physics 24 Annales de l’Institut Fourier 24 Communications in Partial Differential Equations 23 Differential Geometry and its Applications 22 Acta Mathematica Sinica. English Series 21 Manuscripta Mathematica 20 Geometric and Functional Analysis. GAFA 18 Tôhoku Mathematical Journal. Second Series 18 Chinese Annals of Mathematics. Series B 17 Archiv der Mathematik 17 Pacific Journal of Mathematics 15 Results in Mathematics 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 14 Bulletin of the American Mathematical Society. New Series 13 Journal of Differential Equations 13 Journal of the American Mathematical Society 13 Science China. Mathematics 12 Revista Matemática Iberoamericana 12 Analysis & PDE 11 The Annals of Probability 11 International Journal of Mathematics 11 Communications in Contemporary Mathematics 10 Archive for Rational Mechanics and Analysis 10 Journal of the European Mathematical Society (JEMS) 10 Mediterranean Journal of Mathematics 9 Compositio Mathematica 9 Geometry & Topology 8 Letters in Mathematical Physics 8 Arkiv för Matematik 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 7 Bulletin of the Australian Mathematical Society 7 Israel Journal of Mathematics 7 Journal d’Analyse Mathématique 7 Acta Mathematica 7 Journal of the London Mathematical Society. Second Series 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Probability Theory and Related Fields 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Bulletin des Sciences Mathématiques 7 Annals of Mathematics. Second Series 7 Annales Henri Poincaré 7 Journal of Evolution Equations 7 Communications on Pure and Applied Analysis 6 Communications on Pure and Applied Mathematics 6 Rocky Mountain Journal of Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Applicable Analysis 5 Kodai Mathematical Journal 5 Nagoya Mathematical Journal 5 Bulletin of the Korean Mathematical Society 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Science in China. Series A 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Frontiers of Mathematics in China 5 Bulletin of Mathematical Sciences 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Reviews in Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Proceedings of the Japan Academy. Series A 4 Acta Applicandae Mathematicae 4 Journal of Scientific Computing 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 SIAM Journal on Mathematical Analysis 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 Journal of Spectral Theory 3 Journal of Statistical Physics 3 Anais da Academia Brasileira de Ciências 3 Annales Polonici Mathematici ...and 184 more Serials all top 5 Cited in 51 Fields 1,041 Differential geometry (53-XX) 812 Global analysis, analysis on manifolds (58-XX) 725 Partial differential equations (35-XX) 126 Probability theory and stochastic processes (60-XX) 121 Several complex variables and analytic spaces (32-XX) 120 Potential theory (31-XX) 103 Operator theory (47-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 51 Functions of a complex variable (30-XX) 51 Functional analysis (46-XX) 51 Quantum theory (81-XX) 41 Combinatorics (05-XX) 36 Real functions (26-XX) 33 Manifolds and cell complexes (57-XX) 32 Algebraic geometry (14-XX) 30 Topological groups, Lie groups (22-XX) 28 Abstract harmonic analysis (43-XX) 27 Numerical analysis (65-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Statistical mechanics, structure of matter (82-XX) 22 Measure and integration (28-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Convex and discrete geometry (52-XX) 20 Mechanics of deformable solids (74-XX) 18 Ordinary differential equations (34-XX) 17 Fluid mechanics (76-XX) 17 Relativity and gravitational theory (83-XX) 11 Number theory (11-XX) 11 Difference and functional equations (39-XX) 10 Group theory and generalizations (20-XX) 8 Systems theory; control (93-XX) 6 Geometry (51-XX) 6 Information and communication theory, circuits (94-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-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) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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