The paper studies existence of solutions for the nonlinear Schrodinger equation 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.

中文翻译：

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有界磁场的非线性薛定谔方程

该论文研究了具有一般有界外磁场的非线性薛定谔方程解的存在性。特别地，不需要磁场的晶格周期性或外部电场的存在。解是通过关于磁 Sobolev 空间中的有界序列的一般结构陈述获得的。