Positive solutions for some non-autonomous Schrodinger-Poisson systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:248

Article

Cerami, Giovanna²  Vaira, Giusi¹ 

[1] SISSA, I-34014 Trieste, Italy

[2] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy

关键词: Non-autonomous Schrodinger-Poisson system;    Lack of compactness;    Variational methods;   

DOI  :  10.1016/j.jde.2009.06.017

来源: Elsevier

【 摘 要 】

In this paper we study the Schrodinger-Poisson system {-Delta u + u + K(x)phi(x)u = a(x)|u|(p-1)u, x is an element of R-3, (SP) -Delta phi = K(x)u(2), x is an element of R-3, with p is an element of (3, 5). Assuming that a: R-3 -> R and K: R-3 -> R are non-negative functions such that lim(|x| -> infinity) a(x) = a(infinity) > 0, lim(|x| -> infinity) K(x) = 0 and satisfying suitable assumptions, but not requiring any symmetry property on them, we prove the existence of positive solutions. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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