@article{Liu2025, 
author = {Wulong Liu and Huayuan Feng and Yingjie Sun and Patrick Winkert},
title = {Quasilinear elliptic equations with unbalanced growth and singular perturbation},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {11},
pages = {6720-6741},
keywords = {double phase operator, Hopf's Lemma, multiple solutions, singular problems, unbalanced growth},
url = {https://www.sciopen.com/article/10.3934/era.2025297},
doi = {10.3934/era.2025297},
abstract = {In this paper, we study parametric quasilinear elliptic equations driven by the double phase operator, where the right-hand side consists of a singular term and a sublinear term. By combining a new Hopf's Lemma with truncation techniques and an abstract critical point theorem, we establish the existence of three bounded positive solutions and provide an explicit upper bound for the parameter.}
}