Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities

Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
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DOI：
10.1017/s0308210509000584
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发表时间：
2009-03
期刊：
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子：
--
通讯作者：
S. Cingolani;S. Secchi;M. Squassina
S. Cingolani;S. Secchi;M. Squassina
中科院分区：
其他
文献类型：
--
作者：
S. Cingolani;S. Secchi;M. Squassina

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摘要在非局部Hartree型非线性的情况下，研究了具有非恒定电势和磁势的薛定谔方程驻波解的半经典区域。结果表明，存在一族位于电势极小点附近的具有多个浓度区的解。
Abstract The semi-classical regime of standing wave solutions of a Schrödinger equation in the presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is shown that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.