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Nontrivial solutions of Kirchhoff-type problems via the Yang index 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 221, 期号: 1, 页码: 246-255
作者:  Perera, K;  Zhang, ZT
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
nonlocal problems  Kirchhoff's equation  Yang index  minimax eigenvalues  variational  methods  Morse theory  critical groups  
On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 卷号: 58, 期号: 5-6, 页码: 535-546
作者:  Zhang, ZT
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
bifurcation  critical points  critical groups  sign-changing solutions  
On the role played by the Fucik spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 卷号: 49, 期号: 5, 页码: 603-611
作者:  Li, SJ;  Perera, K;  Su, JB
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
semilinear elliptic boundary value problems  jumping nonlinearities  Fucik spectrum  Morse theory  critical groups  
Morse theory for strongly indefinite functional 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 卷号: 48, 期号: 6, 页码: 831-851
作者:  Guo, YX;  Liu, JQ
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
Morse theory  indefinite functional  critical groups  Morse inequalities  dynamically isolated set  
Computation of critical groups in resonance problems where the nonlinearity may not be sublinear 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 卷号: 46, 期号: 6, 页码: 777-787
作者:  Li, SJ;  Perera, K
收藏  |  浏览/下载:73/0  |  提交时间:2018/07/30
asymptotically linear elliptic boundary value problems  resonance  faster than sublinear  variational methods  Morse theory  critical groups  
Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 卷号: 44, 期号: 7, 页码: 856-866
作者:  Li, SJ;  Zhang, ZT
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
Fucik spectrum  critical points  critical groups  sign-changing solutions  Dirichlet problems  jumping nonlinearities  
Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 卷号: 38, 期号: 2, 页码: 229-247
作者:  Zou, WM;  Li, SJ;  Liu, JQ
收藏  |  浏览/下载:67/0  |  提交时间:2018/07/30
resonance  critical groups  Morse index  betti number