@Article{JMS-48-4,
author = {Youssef, Akdim and Chakir, Allalou},
title = {Existence of Renormalized Solutions of Nonlinear Elliptic Problems in Weighted Variable-Exponent Space},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {4},
pages = {375--397},
abstract = {<p style="text-align: justify;">In this article, we study a general class of nonlinear degenerated elliptic
problems associated with the differential inclusion $β(u)-div(a(x,Du)+F(u)) ∋ f$ in $Ω$&nbsp; where $f ∈ L^1(Ω).$ A vector field $a(.,.)$ is a Carathéodory function. Using truncation
techniques and the generalized monotonicity method in the framework of weighted
variable exponent Sobolev spaces, we prove existence of renormalized solutions for
general $L^1$-data.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n4.15.05},
url = {https://global-sci.com/article/87837/existence-of-renormalized-solutions-of-nonlinear-elliptic-problems-in-weighted-variable-exponent-space}
}