@Article{ATA-39-1,
author = {Youssef, Akdim and Ouboufettal, Morad},
title = {Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data},
journal = {Analysis in Theory and Applications},
year = {2023},
volume = {39},
number = {1},
pages = {53--68},
abstract = {<p style="text-align: justify;">This paper is concerned with the existence of solution for a general class of
strongly nonlinear elliptic problems associated with the differential inclusion $$β(u)+A(u)+g(x,u,Du) \ni f,$$ where $A$ is a Leray-Lions operator from $W^{1,p}_0(Ω)$ into its dual, $β$ maximal monotone
mapping such that $0 ∈ β(0),$ while $g(x,s, ξ)$ is a nonlinear term which has a growth
condition with respect to $ξ$ and no growth with respect to $s$ but it satisfies a sign-condition on $s.$ The right hand side $f$ is assumed to belong to $L^1(Ω).$</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2020-0049},
url = {https://global-sci.com/article/73725/existence-of-solution-for-a-general-class-of-strongly-nonlinear-elliptic-problems-having-natural-growth-terms-and-l1-data}
}