Semiclassical states for weakly coupled nonlinear Schrödinger systems
Semiclassical states for weakly coupled nonlinear Schrödinger systems
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DOI：
10.4171/jems/103
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发表时间：
2008-03
影响因子：
2.6
通讯作者：
Eugenio Montefusco;B. Pellacci;M. Squassina
中科院分区：
文献类型：
--
作者：
Eugenio Montefusco;B. Pellacci;M. Squassina
我们考虑具有非常量势的弱耦合薛定谔方程组，并研究了非平凡非负解的存在性，这些非负解集中在势的局部极小值附近。我们得到了最小能量解序列集中的充要条件。
We consider systems of weakly coupled Schrodinger equations with nonconstant potentials and we investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.