Nonlinear Schrodinger equation with bounded magnetic field

被引：5

作者：

Devillanova, Giuseppe ^{[1
]}

Tintarev, Cyril ^{[2
]}

机构：

[1] Politecn Bari, Via Amendola 126-B, I-70126 Bari, Italy

[2] Technion Israel Inst Technol, IL-3200 Haifa, Israel

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 10期

关键词：

Schrodinger operator; Magnetic field; Ground state; Concentration compactness; Profile decomposition; Critical points; COMPACTNESS;

D O I：

10.1016/j.jde.2020.06.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper studies existence of solutions for the nonlinear Schrodinger equation - (del+iA(x))(2)u + V (x)u = f (vertical bar u vertical bar)u (0.1) with a general bounded external magnetic field. In particular, no lattice periodicity of the magnetic field or presence of external electric field is required. Solutions are obtained by means of a general structural statement about bounded sequences in the magnetic Sobolev space. (c) 2020 Elsevier Inc. All rights reserved.

引用

页码：8998 / 9025

页数：28

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