Abstract
In this paper, we focus on the following generalized quasilinear Schrödinger equation with nonlocal term and critical growth: where , , , , , is a bounded even function, , for all , for some and for all . By using the variational methods and Ljusternik–Schnirelmann category theory, we establish the existence and multiplicity of semi-classical solutions.
Acknowledgements
This work is supported in part by the National Natural Science Foundation of China (12026227; 12026228; 11801153; 12161033) and the Yunnan Province Applied Basic Research for Youths (2018FD085, 2018FD084) and the Yunnan Province Applied Basic Research for General Project (2019FB001, 2019FD091) and Technology Innovation Team of University in Yunnan Province and Youth Outstanding-notch Talent Support Program in Yunnan Province.
Disclosure statement
No potential conflict of interest was reported by the author(s).