@Article{Charkaoui2021,
author = "Charkaoui, Abderrahim and Fahim, Houda and Alaa, Nour Eddine",
title = "Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent",
journal = "Opuscula Math.",
year = "2021",
volume = "41",
number = "1",
pages = "25--53",
doi = "https://doi.org/10.7494/OpMath.2021.41.1.25",
url = "https://doi.org/10.7494/OpMath.2021.41.1.25",
abstract = "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.",
keywords = "variable exponent, quasilinear equation, Schaeffer's fixed point, subsolution, supersolution, weak solution",
issn = "1232-9274"
}