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Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 卷号: 221, 期号: 2, 页码: 439-455
作者:  Li, C;  Li, SJ;  Liu, JQ
收藏  |  浏览/下载：81/0  |  提交时间：2018/07/30
the Poincare-Hopf theorem  the splitting theorem  multiple solutions  jumping nonlinear elliptic equations  
Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 卷号: 298, 期号: 1, 页码: 14-32
作者:  Li, C;  Li, SJ
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
multiple solutions and sign-changing solutions  critical group  Neumann boundary value problem  Morse theory  
Contractibility of level sets of functionals associated with some elliptic boundary value problems and applications 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2003, 卷号: 10, 期号: 2, 页码: 133-170
作者:  Liu, ZL;  Li, SJ
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
critical point  elliptic boundary value problem  jumping nonlinearity  four nontrivial solutions  contractibility of level set  
Infinitely many solutions for Hamiltonian systems 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 卷号: 186, 期号: 1, 页码: 141-164
作者:  Zou, WM;  Li, SJ
收藏  |  浏览/下载：70/0  |  提交时间：2018/07/30
Hamiltonian system  resonance  sign-changing potential  Betti number  Morse theory  
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：97/0  |  提交时间：2018/07/30
semilinear elliptic boundary value problems  jumping nonlinearities  Fucik spectrum  Morse theory  critical groups  
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  
Morse theory without (PS) condition at isolated values and strong resonance problems 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2000, 卷号: 10, 期号: 3, 页码: 223-247
作者:  Hirano, N;  Li, SJ;  Wang, ZQ
收藏  |  浏览/下载：79/0  |  提交时间：2018/07/30
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  
Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 1999, 卷号: 5, 期号: 3, 页码: 489-493
作者:  Li, SJ;  Zhang, ZT
收藏  |  浏览/下载：68/0  |  提交时间：2018/07/30
Dirichlet problems  multiple solutions  resonance