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POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 587-607
作者:  Chen, Yu;  Ding, Yanheng;  Xu, Tian
收藏  |  浏览/下载：194/0  |  提交时间：2020/01/10
Dirac equations  semi-classical states  multiplicity  
GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2019, 卷号: 12, 期号: 7, 页码: 1905-1927
作者:  Dai, Guowei;  Tian, Rushun;  Zhang, Zhitao
收藏  |  浏览/下载：156/0  |  提交时间：2020/01/10
Bifurcation  Schrodinger systems  positive solutions  
Applying Ricci flow to high dimensional manifold learning 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2019, 卷号: 62, 期号: 9, 页码: 14
作者:  Li, Yangyang;  Lu, Ruqian
收藏  |  浏览/下载：156/0  |  提交时间：2020/01/10
manifold learning  Ricci flow  Ricci curvature  dimension reduction  curvature estimation  
A Study on Big Knowledge and Its Engineering Issues 期刊论文
IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 2019, 卷号: 31, 期号: 9, 页码: 1630-1644
作者:  Lu, Ruqian;  Jin, Xiaolong;  Zhang, Songmao;  Qiu, Meikang;  Wu, Xindong
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
Big data  knowledge engineering  big data knowledge engineering  big knowledge  massiveness characteristics  big-knowledge system  big-knowledge engineering  life cycle  
Locality preserving projection on SPD matrix Lie group: algorithm and analysis 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 9, 页码: 15
作者:  Li, Yangyang;  Lu, Ruqian
收藏  |  浏览/下载：164/0  |  提交时间：2018/07/30
manifold learning  SPD matrix Lie group  locally preserving projection  Laplace operator  Log Euclidean metric  
The Fucik spectrum of Schrodinger operator and the existence of four solutions of Schrodinger equations with jumping nonlinearities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 10, 页码: 7000-7097
作者:  Li, Chong;  Li, Shujie
收藏  |  浏览/下载：147/0  |  提交时间：2018/07/30
Schrodinger equation  Minimax principle  Morse theory  Maximum principle  Exact homology sequences  
Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 56, 期号: 2, 页码: 14
作者:  Li, Chong;  Liu, Yanyan
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 卷号: 369, 期号: 1, 页码: 97-138
作者:  Ding, Yanheng;  Xu, Tian
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Reaction-diffusion system  singular perturbation  concentration  
Bifurcation on compact spin manifold 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 卷号: 55, 期号: 4, 页码: 17
作者:  Ding, Yanheng;  Li, Jiongyue;  Xu, Tian
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 卷号: 271, 期号: 2, 页码: 245-263
作者:  Li, Chong;  Li, Shujie
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
New homological linking theorem  The gaps of consecutive eigenvalues  The fourth nontrivial solution  Ambrosetti-Rabinowitz condition