@article{Wu2022, 
author = {Deke Wu and Hongmin Suo and Linyan Peng and Guaiqi Tian and Changmu Chu},
title = {Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity and critical exponents},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {7909-7935},
keywords = {multiple positive solutions, critical exponents, singularity, Nehari method, variational method},
url = {https://www.sciopen.com/article/10.3934/math.2022443},
doi = {10.3934/math.2022443},
abstract = {In this paper, we study the multiplicity results of positive solutions for a class of Kirchhoff type problems with singularity and critical exponents. Combining with the Nehari method and variational method, we prove the existence of positive ground state solutions. Furthermore, we obtain a relationship between the number of positive solutions and the topology of the global maximum set of    Q  (  x  ).}
}