Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
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DOI：
10.1080/03605302.2011.593013
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发表时间：
2011-08
影响因子：
1.9
通讯作者：
C. O. Alves;G. Figueiredo;M. Furtado
中科院分区：
文献类型：
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作者：
C. O. Alves;G. Figueiredo;M. Furtado
本文研究了一个磁场中的非线性薛定谔方程，并将解的个数与势能达到最小值的集合的拓扑联系起来。在证明中，我们采用变分方法，惩罚技术和Ljusternik-Schnirelmann理论。
We study a nonlinear Schrödinger equation in presence of a magnetic field and relate the number of solutions with the topology of the set where the potential attains its minimum value. In the proofs we apply variational methods, penalization techniques and Ljusternik–Schnirelmann theory.