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论文类型：期刊论文

发表时间：2007-09-15

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：67

期号：6

页面范围：1847-1860

ISSN号：0362-546X

关键字：Morse theory; critical groups; second order Hamiltonian system; elliptic boundary value problem; nontrivial solutions

摘要：In this paper, we first consider the computations of the critical groups of a functional with generalized Ahmad-Lazer-Paul type conditions both at zero and infinity. Then the abstract results are applied to investigate some new cases of the existence of nontrivial solutions of the second order Hamiltonian systems and elliptic boundary value problems, which may be resonant both at zero and infinity. (c) 2006 Elsevier Ltd. All rights reserved.