@Article{Papageorgiou2024,
author = "Papageorgiou, Nikolaos S. and Rădulescu, Vicenţiu D. and Sun, Xueying",
title = "Positive solutions for nonparametric anisotropic singular solutions",
journal = "Opuscula Math.",
year = "2024",
volume = "44",
number = "3",
pages = "409--423",
doi = "https://doi.org/10.7494/OpMath.2024.44.3.409",
url = "https://doi.org/10.7494/OpMath.2024.44.3.409",
abstract = "We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a \"superlinear\" perturbation. There is no parameter in the problem. Using variational tools and truncation and comparison techniques, we show the existence of at least two positive smooth solutions.",
keywords = "variable Lebesgue and Sobolev spaces, anisotropic regularity, anisotropic maximum principle, truncations and comparisons, Hardy inequality",
issn = "1232-9274"
}