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Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
作者:  Liu, Yanyan;  Li, Chong;  Li, Shujie
收藏  |  浏览/下载：132/0  |  提交时间：2021/10/26
Strongly indefinite superlinear problem  prescribed number of nontrivial solutions  nonautonomous Hamiltonian systems  Dirac equations on compact spin manifold  
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
NONTRIVIAL SOLUTIONS AND VARIATIONAL CHARACTERS OF POSITIVE HOMOGENEOUS ELLIPTIC EQUATION 期刊论文
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 卷号: 18, 期号: 7, 页码: 1265-1277
作者:  Li, Chong;  Li, Shujie
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Solvability  elliptic equation  Morse theory  reduced functional  
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  
THE QUANTITATIVE ANALYSIS ON THE FUCIK SPECTRUM AND SOLVABILITY OF JUMPING NONLINEAR PROBLEMS 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2011, 卷号: 13, 期号: 2, 页码: 293-308
作者:  Li, Chong
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Quantitative description  Fucik spectrum  several technical conditions  isomorphism  applications  
Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2008, 卷号: 32, 期号: 2, 页码: 237-251
作者:  Li, Chong;  Li, Shujie;  Liu, Zhaoli
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
On the Fucik spectrum 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 卷号: 244, 期号: 10, 页码: 2498-2528
作者:  Li, Chong;  Li, Shujie;  Liu, Zhaoli;  Pan, Jianzhong
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
implicit function theorem  differentiability  Fucik spectrum  Fucik curve  solvability  homotopy index  nodal domain  
Some remarks on the critical point theory 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2007, 卷号: 30, 期号: 2, 页码: 223-234
作者:  Li, Chong
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
mountain pass theorem  order intervals  Morse theory  minimax method  
The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 卷号: 20, 期号: 6, 页码: 965-976
作者:  Li, Chong
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Critical point theory  Order intervals  Decreasing flow