article · Analysis in Theory and Applications · 2023
Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data
Youssef Akdim, Morad Ouboufettal
Cited by 4Open access
Abstract
This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusion $$β(u)+A(u)+g(x,u,Du) i f,$$ 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 $L^1(Ω).$
Cite this paper
Akdim, Y., & Ouboufettal, M. (2023). Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data. Analysis in Theory and Applications, 39(1), 53–68. https://doi.org/10.4208/ata.oa-2020-0049
Akdim, Youssef, and Morad Ouboufettal. “Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data.” Analysis in Theory and Applications, vol. 39, no. 1, 2023, pp. 53–68, https://doi.org/10.4208/ata.oa-2020-0049.
Akdim, Youssef, and Morad Ouboufettal. 2023. “Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data.” Analysis in Theory and Applications 39 (1): 53–68. https://doi.org/10.4208/ata.oa-2020-0049.
Akdim, Y. and Ouboufettal, M. (2023) ‘Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data’, Analysis in Theory and Applications, 39(1), pp. 53–68. Available at: https://doi.org/10.4208/ata.oa-2020-0049.
@article{akdim2023existence,
title = {{Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data}},
author = {Akdim, Youssef and Ouboufettal, Morad},
journal = {Analysis in Theory and Applications},
volume = {39},
number = {1},
pages = {53--68},
year = {2023},
doi = {10.4208/ata.oa-2020-0049}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.