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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：133/0  |  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：149/0  |  提交时间：2018/07/30
Schrodinger equation  Minimax principle  Morse theory  Maximum principle  Exact homology sequences  
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：94/0  |  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：99/0  |  提交时间：2018/07/30
New homological linking theorem  The gaps of consecutive eigenvalues  The fourth nontrivial solution  Ambrosetti-Rabinowitz condition  
Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 卷号: 371, 期号: 2, 页码: 682-690
作者:  Zhang, Jing;  Li, Shujie;  Wang, Yuwen;  Xue, Xiaoping
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
Semilinear elliptic equations  Neumann boundary condition  Multiple solutions  Jumping nonlinearity  Fucik spectrum  Degree theory  Morse theory  
Existence of solutions for a class of semilinear elliptic equations with the Robin boundary value condition 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 卷号: 71, 期号: 7-8, 页码: 3292-3298
作者:  Shi, Shujun;  Li, Shujie
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Existence of solutions  Robin boundary value problem  Local linking  
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：98/0  |  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：117/0  |  提交时间：2018/07/30
implicit function theorem  differentiability  Fucik spectrum  Fucik curve  solvability  homotopy index  nodal domain  
Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 卷号: 66, 期号: 2, 页码: 324-348
作者:  Chen, Shaowei;  Li, Shujie
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
Hardy-Sobolev inequalities  semilinear equations  Palais-Smale sequence  hyperbolic space  
Multiplicity of solutions for some elliptic equations involving critical and supercritical Sobolev exponents 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2006, 卷号: 28, 期号: 2, 页码: 235-261
作者:  Li, Shujie;  Liu, Zhaoli
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
nonlinear elliptic equation  Sobolev exponent  multiple solutions