一类临界的拟线性薛定谔方程组基态解的存在性

2021-09-10 07:22董楠王丽丽
数理化解题研究·综合版 2021年2期

董楠 王丽丽

摘 要:本文讨论了一类耦合的拟线性薛定谔方程组,在适当的条件下,当ε充分小时证明了方程组基态解的存在性.所得结论可以模拟等离子体物理中的相互作用现象.

關键词:拟线性薛定谔方程组;基态解;变分法;临界增长

中图分类号:G632文献标识码:A文章编号:1008-0333(2021)06-0015-02

收稿日期:2020-11-25

作者简介:董楠,女,从事数学教学研究.

王丽丽,女,讲师,从事数学教学研究.

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