Browsing by Author "Charkaoui, Abderrahim"

Now showing 1 - 2 of 2

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.
Access status: Open Access ,
On the solvability of some parabolic equations involving nonlinear boundary conditions with L1 data
(Wydawnictwa AGH, 2024) Taourirte, Laila; Charkaoui, Abderrahim; Alaa, Nour Eddine
We analyze the existence of solutions for a class of quasilinear parabolic equations with critical growth nonlinearities, nonlinear boundary conditions, and $L^1$ data. We formulate our problems in an abstract form, then using some techniques of functional analysis, such as Leray-Schauder's topological degree associated with the truncation method and very interesting compactness results, we establish the existence of weak solutions to the proposed models.