New existence of homoclinic orbits for a second-order Hamiltonian system

被引：14

作者：

Chen, Peng ^{[1
]}

Tang, X. H. ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 01期

关键词：

Homoclinic solutions; Hamiltonian system; Variational methods; Weighted L(p) spaces;

D O I：

10.1016/j.camwa.2011.04.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Mountain Pass Theorem and the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee that the second-order Hamiltonian system u(t) - a(t)vertical bar u(t)vertical bar(p-2)u(t) + del W (t, u(t)) = 0 has at least one or infinitely many homoclinic orbits, where t is an element of R. u is an element of R(N), a is an element of C(R, R) and W is an element of C(1) (R x R(N), R) are not periodic in t. Our conditions on the potential W(t, x) are rather relaxed. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：131 / 141

页数：11

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