Infinitely many positive solutions for a Schrodinger-Poisson system

被引：45

作者：

d'Avenia, Pietro ^{[1
]}

Pomponio, Alessio ^{[1
]}

Vaira, Giusi ^{[2
]}

机构：

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

[2] SISSA, I-34014 Trieste, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 16期

关键词：

Non-autonomous Schrodinger-Poisson system; Perturbation method; MAXWELL EQUATIONS; STANDING WAVES; EXISTENCE;

D O I：

10.1016/j.na.2011.05.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the existence of infinitely many positive solutions of the Schrodinger-Poisson system {-Delta u + u + V(vertical bar z vertical bar phi u = vertical bar u vertical bar(p-1) u, x is an element of R(3) {(-)Delta phi = V(vertical bar x vertical bar)u(2), x is an element of R(3), where V(vertical bar x vertical bar) is a positive bounded function, 1 < p < 5 and V(r), r = vertical bar x vertical bar, has the following decay property: V(r) = a/r(m) + 0 (1/r(m+theta)) with a > 0, m > 3/2, theta > 0. The solutions obtained are non-radial. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：5705 / 5721

页数：17

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