@article{Tao2023, 
author = {Lulu Tao and Rui He and Sihua Liang and Rui Niu},
title = {Existence and multiplicity of solutions for critical Choquard-Kirchhoff type equations with variable growth},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {3026-3048},
keywords = {variational methods, Choquard equation, concentration-compactness principles, critical nonlinearity},
url = {https://www.sciopen.com/article/10.3934/math.2023156},
doi = {10.3934/math.2023156},
abstract = {We prove the existence and multiplicity of solutions for a class of Choquard-Kirchhoff type equations with variable exponents and critical reaction. Because the appearance of the critical reaction, we deal with the lack of compactness by using the concentration-compactness principle. In particular, we discuss the main results in non-degenerate and degenerate cases. And we apply combination of Krasnoselskii genus and the Hardy-Littlewood-Sobolev inequality to get the results of existence and multiplicity.}
}