Infinitely many solutions for Hamiltonian systems

被引：70
作者：
Zou, WM [1 ]
Li, SJ
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年 / 186卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian system; resonance; sign-changing potential; Betti number; Morse theory;
D O I：
10.1016/S0022-0396(02)00005-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy solutions by minimax technique. If the systems possess sign-changing potential, we also establish an existence theorem of infinitely many solutions by Morse theory. (C) 2002 Elsevier Science (USA). All rights reserved.
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收藏
页码：141 / 164
页数：24
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