Asymptotically periodic superquadratic Hamiltonian systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Furtado, Marcelo F.¹  de Marchi, Reinaldo² 

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[2] Univ Fed Mato Grosso, Dept Matemat, BR-78060900 Cuiaba, MT, Brazil

关键词: Hamiltonian systems;    Superlinear problems;    Periodic problems;    Variational methods;   

DOI  :  10.1016/j.jmaa.2015.08.004

来源: Elsevier

【 摘 要 】

We obtain existence of solutions for the system {-Delta u + V(x)u = F-v, (x, u, v), x is an element of R-N, -Delta v + V(x)v = F-u (x, u, v), x is an element of R-N, where N >= 3, V is an element of C(R-N, (0, infinity)) is periodic and F is an element of C-1(R-N X R-2, R) is superquadratic at infinity. We consider the case that F is periodic and asymptotically periodic. In the proofs we apply variational techniques. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free