@Article{Taourirte2024,
author = "Taourirte, Laila and Charkaoui, Abderrahim and Alaa, Nour Eddine",
title = "On the solvability of some parabolic equations involving nonlinear boundary conditions with L<sup>1</sup> data",
journal = "Opuscula Math.",
year = "2024",
volume = "44",
number = "4",
pages = "587--623",
doi = "https://doi.org/10.7494/OpMath.2024.44.4.587",
url = "https://doi.org/10.7494/OpMath.2024.44.4.587",
abstract = "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.",
keywords = "quasilinear parabolic equation, nonlinear boundary conditions, weak solutions, Leray-Schauder topological degree, \(L^1\)-data",
issn = "1232-9274"
}