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Browsing by Subject "variable Lebesgue and Sobolev spaces"

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    Item type:Article, Access status: Open Access ,
    Positive solutions for nonparametric anisotropic singular solutions
    (Wydawnictwa AGH, 2024) Papageorgiou, Nikolaos S.; Rǎdulescu, Vicenţiu; Sun, Xueying
    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.