Normalized solutions for Kirchhoff-Carrier type equation

In this paper, we study the following Kirchhoff-Carrier type equation

$$-\left(a+bM\left(|\mathrm{\nabla }u{|}_2,|u{|}_{\tau }\right)\right)\mathrm{\Delta }u-\lambda u=|u{|}^{p-2}u,\mathrm{i}\mathrm{n}{\mathbb{R}}^3,$$

where $a,b>0$ are constants, $\lambda \in \mathbb{R},p\in (2,6)$. By using a minimax procedure, we obtain infinitely solutions $(v_n^b,{\lambda }_n)$ with $v_n^b$ having a prescribed $L^2$-norm. Moreover, we give a convergence property of $v_n^b$ as $b\to 0^{+}$.