Localized nodal solutions for a critical nonlinear Schrodinger equation
Localized nodal solutions for a critical nonlinear Schrodinger equation
复制标题
临界非线性薛定谔方程的局部节点解
DOI：
10.1016/j.jfa.2018.10.027
复制
发表时间：
2019
影响因子：
1.7
通讯作者：
Zhi-Qiang Wang
中科院分区：
文献类型：
--
作者：
Shaowei Chen;Jiaquan Liu;Zhi-Qiang Wang
对于具有Sobolev临界指数的半经典非线性Schrödinger方程，我们提出并实现了一种构造无界半经典约束态序列的方法，这些约束态是局部节点解，集中于势的局部最小集。该方法不需要任何极限方程的非简并性条件，对于更一般的问题具有鲁棒性。
For semiclassical nonlinear Schrödinger equations with Sobolev critical exponent we propose and implement a procedure to construct an unbounded sequence of semiclassical bound states which are localized nodal solutions and are concentrated at a local minimum set of the potential. Our approach does not need any non-degeneracy condition of the limiting equation and is robust for more general problems.