关键词: Kirchhoff方程, 正规化解, 变分法

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 $\mu>0$, and the local minimizers and the mountain pass type critical points for the energy functionals when $\mu<0$.

Key words: Kirchhoff equation, Normalized solution, Variational method