Non-radial sign-changing solutions for the Schrodinger-Poisson problem in the semiclassical limit

被引：20

作者：

Ianni, Isabella ^{[1
]}

Vaira, Giusi ^{[2
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat & Fis, I-81100 Caserta, Italy

[2] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, Sez Matemat, I-00185 Rome, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2015年 / 22卷 / 04期

关键词：

Schrodinger-Poisson problem; Semiclassical limit; Cluster solutions; Sign-changing solutions; Variational methods; Lyapunov-Schmidt reduction; KLEIN-GORDON-MAXWELL; THOMAS-FERMI; SOLITARY WAVES; ATOMS; EQUATION; HARTREE; STATES;

D O I：

10.1007/s00030-014-0303-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the following system of equations known as Schrodinger-Poisson problem where is a small parameter, is given, N a parts per thousand yen 3 , a (N) is the surface measure of the unit sphere in and the unknowns are . We construct non-radial sign-changing multi-peak solutions in the semiclassical limit. The peaks are displaced in suitable symmetric configurations and collapse to the same point as -> 0. The proof is based on the Lyapunov-Schmidt reduction.

引用

页码：741 / 776

页数：36

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