@article{Ni2024, 
author = {Yangyu Ni and Jijiang Sun and Jianhua Chen},
title = {Multiplicity and concentration of normalized solutions for a Kirchhoff type problem with  L2-subcritical nonlinearities},
year = {2024},
journal = {Communications in Analysis and Mechanics},
volume = {16},
number = {3},
pages = {633-654},
keywords = {Kirchhoff type equation, normalized solutions, multiplicity, mass subcritical, Lusternik- Schnirelman category},
url = {https://www.sciopen.com/article/10.3934/cam.2024029},
doi = {10.3934/cam.2024029},
abstract = {In this paper, we studied the existence of multiple normalized solutions to the following Kirchhoff type equation:   {−(aε2+bε∫R3|∇u|2dx)Δu+V(x)u=μu+f(u)inR3,∫R3|u|2dx=mε3,u∈H1(R3),where  a,  b,  m>0,  ε is a small positive parameter,  V is a nonnegative continuous function,  f is a continuous function with  L2-subcritical growth and  μ∈R will arise as a Lagrange multiplier. Under the suitable assumptions on  V and  f, the existence of multiple normalized solutions was obtained by using minimization techniques and the Lusternik-Schnirelmann theory. We pointed out that the number of normalized solutions was related to the topological richness of the set where the potential  V attained its minimum value.}
}