一类Kirchhoff方程的正规化解  

Normalized Solutions for a Class of Kirchhoff Equations

作　　者：梁艳霞 Liang Yanxia(School of Mathematics,Guangdong University of Technology,Guangzhou 510006,China)

机构地区：[1]广东工业大学数学与统计学院,广州510006

出　　处：《数学理论与应用》2024年第2期36-50,共15页Mathematical Theory and Applications

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.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 whenμ>0,and the local minimizers and the mountain pass type critical points for the energy functionals whenμ<0.

关 键 词：KIRCHHOFF方程 正规化解 变分法 

分 类 号：O175[理学—数学]