@article{Tang2025, 
author = {Zhi-Yun Tang and Xianhua Tang},
title = {Positive solutions for critical singular elliptic equations without Ambrosetti-Rabinowitz type conditions},
year = {2025},
journal = {Communications in Analysis and Mechanics},
volume = {17},
number = {2},
pages = {462-473},
keywords = {Hardy-Sobolev critical exponents, positive solutions, mountain pass lemma, the least action principle, method of sub-supersolutions},
url = {https://www.sciopen.com/article/10.3934/cam.2025019},
doi = {10.3934/cam.2025019},
abstract = {We study the subcritical approximations to Li–Lin's open problem, proposed by Li and Lin (Arch Ration Mech Anal 203(3): 943-968, 2012). By applying the variational method, we obtain two positive solutions. We establish a nonexistence theorem for positive solutions. Finally, through the combination of the variational method and the sub-supersolution method, we find a global bifurcation phenomenon for positive solutions.}
}