@Article{JPDE-30-31,
author = {Hassib , Moulay CherifAkdim , YoussefAzroul , Elhoussine and Barbara , Abdelkrim},
title = {Existence and Regularity of Solution for Strongly Nonlinear <em>p(x)</em>-Elliptic Equation with Measure Data},
journal = {Journal of Partial Differential Equations},
year = {2017},
volume = {30},
number = {1},
pages = {31--46},
abstract = { The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u)=μ in Ω, u =0 on ∂Ω, with a right-hand side measure, where Ω is a bounded open set of $\mathbb{R}$<sup>N</sup>, N ≥ 2 and A(u)=-div(a(x,u,∇u)) is a Leray-Lions operator defined from W<sup>1,p(x)</sup><sub>0</sub> (Ω) in to its dual W<sup>-1,p&#39;(x)</sup>(Ω). However the second part concerns the existence solution, of the following setting nonlinear elliptic problems A(u)+g(x,u,∇u)=μ in Ω, u=0 on ∂Ω. We will give some regularity results for these solutions.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v30.n1.3},
url = {http://global-sci.org/intro/article_detail/jpde/5069.html}
}