@article{Farroni2023, 
author = {Fernando Farroni and Gioconda Moscariello and Gabriella Zecca},
title = {Lewy-Stampacchia inequality for noncoercive parabolic obstacle problems},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {4},
pages = {1-23},
keywords = {noncoercive evolution problems, obstacle problems, penalization, Lewy–Stampacchia inequality, Marcinkiewicz spaces},
url = {https://www.sciopen.com/article/10.3934/mine.2023071},
doi = {10.3934/mine.2023071},
abstract = {We investigate the obstacle problem for a class of nonlinear and noncoercive parabolic variational inequalities whose model is a Leray–Lions type operator having singularities in the coefficients of the lower order terms. We prove the existence of a solution to the obstacle problem satisfying a Lewy-Stampacchia type inequality.}
}