@Article{JPDE-35-101,
author = {Khelifi , Hichem},
title = {The Obstacle Problem for Nonlinear Degenerate Elliptic Equations with Variable Exponents and $L^1$-Data},
journal = {Journal of Partial Differential Equations},
year = {2022},
volume = {35},
number = {2},
pages = {101--122},
abstract = {<p style="text-align: justify;">The aim of this paper is to study the obstacle problem associated with an elliptic operator having degenerate coercivity, and $L^{1}-$data. The functional setting involves Lebesgue-Sobolev spaces with variable exponents. We prove the existence of an entropy solution and show its continuous dependence on the $L^{1}-$data in $W^{1,q(\cdot)}(\Omega)$ with some $q(\cdot)&gt;1$.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v35.n2.1},
url = {http://global-sci.org/intro/article_detail/jpde/20444.html}
}