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Multiple solutions of nonlinear elliptic equations for oscillation problems 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 卷号: 303, 期号: 2, 页码: 477-485
作者:  Li, C;  Ding, YH;  Li, SJ
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
mountain pass theorem  half-order intervals  oscillating problems  
Multiple nodal solutions for elliptic equations 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 卷号: 57, 期号: 4, 页码: 615-632
作者:  Qian, AX;  Li, SJ
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
minimax theory  nodal solutions  elliptic boundary value problems  
Critical groups at infinity, saddle point reduction and elliptic resonant problems 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2003, 卷号: 5, 期号: 5, 页码: 761-773
作者:  Liu, SB;  Li, SJ
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
morse inequality  critical group  Lyapunov-Schmidt reduction  elliptic resonant problem  
On sign-changing and multiple solutions of the p-Laplacian 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 卷号: 197, 期号: 2, 页码: 447-468
作者:  Zhang, ZT;  Li, SJ
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
critical points  p-Laplacian  sign-changing solutions  multiple solutions  jumping nonlinearities  
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  
Perturbations from symmetric elliptic boundary value problems 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 卷号: 185, 期号: 1, 页码: 271-280
作者:  Li, SJ;  Liu, ZL
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
perturbation  symmetry  elliptic boundary value problems  multiple 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:97/0  |  提交时间:2018/07/30
semilinear elliptic boundary value problems  jumping nonlinearities  Fucik spectrum  Morse theory  critical groups  
Ljusternik-Schnirelman theory in partially ordered Hilbert spaces 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 卷号: 354, 期号: 8, 页码: 3207-3227
作者:  Li, SJ;  Wang, ZQ
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
Ljusternik-Schnirelman theory  order structure  minimax method  sign-changing solutions  
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  
Positive solutions of elliptic boundary value problems without the (PS) type assumption 期刊论文
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2001, 卷号: 50, 期号: 3, 页码: 1347-1369
作者:  Liu, ZL;  Li, SJ;  Wang, ZQ
收藏  |  浏览/下载:76/0  |  提交时间:2018/07/30
elliptic BVP  positive solution  bifurcation diagram  variational method  descending flow