一类Kirchhoff方程的正规化解
Normalized Solutions for a Class of Kirchhoff Equations
梁艳霞1
作者信息
- 1. 广东工业大学数学与统计学院,广州,510006
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摘要
本文利用变分法研究一类Kirchhoff方程正规化解的存在性.当μ＞0时,我们得到正规化基态解;当μ＜0时,得到能量泛函的局部极小值点和山路型临界点.
Abstract
In this paper we study the existence of normalized solutions to a class of Kirchhoff equations with the variational method,and obtain the normalized ground state solutions when μ＞0,and the local minimizers and the mountain pass type critical points for the energy functionals when μ＜0.
关键词
Kirchhoff方程/正规化解/变分法Key words
Kirchhoff equation/Normalized solution/Variational method引用本文复制引用
出版年
2024
NETL
NSTL
万方数据