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Browsing by Subject "variable exponent"

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    Item type:Article, Access status: Open Access ,
    Isotropic and anisotropic double-phase problems: old and new
    (Wydawnictwa AGH, 2019) Rădulescu, Vicenţiu D.
    We are concerned with the study of two classes of nonlinear problems driven by differential operators with unbalanced growth, which generalize the $(p,q)$- and $(p(x),q(x))$-Laplace operators. The associated energy is a double-phase functional, either isotropic or anisotropic. The content of this paper is in relationship with pioneering contributions due to P. Marcellini and G. Mingione.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent
    (Wydawnictwa AGH, 2021) Charkaoui, Abderrahim; Fahim, Houda; Alaa, Nour Eddine
    We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent. Using Schaeffer's fixed point theorem combined with the sub- and supersolution method, we prove the existence results of a weak solutions to the considered problems.