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Indexed by:期刊论文

Date of Publication:2007-09-15

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:67

Issue:6

Page Number:1847-1860

ISSN No.:0362-546X

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

Abstract: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.