@ARTICLE{El Moumni,
author = {El Moumni, M. and },
title = {Renormalized Solutions for Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces},
volume = {14},
number = {1},
abstract ={The purpose of this paper is to prove the existence of a renormalized solution of perturbed elliptic problems$ -operatorname{div}Big(a(x,u,nabla u)+Phi(u) Big)+ g(x,u,nabla u) = mumbox{ in }Omega, $ in the framework of Orlicz-Sobolev spaces without any restriction on the $M$ N-function of the Orlicz spaces, where $-operatorname{div}Big(a(x,u,nabla u)Big)$ is a Leray-Lions operator defined from $W^{1}_{0}L_{M}(Omega)$ into its dual, $Phi in C^{0}(mathbb{R},mathbb{R}^{N})$. The function $g(x,u,nabla u)$ is a non linear lower order term with natural growth with respect to $|nabla u|$, satisfying the sign condition and the datum $mu$ is assumed belong to $L^1(Omega)+W^{-1}E_{overline{M}}(Omega)$. },
URL = {http://ijmsi.ir/article-1-936-en.html},
eprint = {http://ijmsi.ir/article-1-936-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {},
year = {2019}
}