In the paper [5] in collaboration with Italo Capuzzo Dolcetta, the use of the Lewy-Stampacchia inequality was the main tool for the study of the G-convergence in unilateral problems with linear differential operators. In this paper we prove a Lewy-Stampacchia inequality for unilateral problems with more general differential operators (quasilinear operators with lower order term having quadratic growth with respect to the gradient) in order to study the G-convergence in unilateral problems with such type of differential operators.
@article{BUMI_2011_9_4_2_275_0,
author = {Lucio Boccardo},
title = {Lewy-Stampacchia Inequality in Quasilinear Unilateral Problems and Application to the G-convergence},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {4},
year = {2011},
pages = {275-282},
zbl = {1234.35115},
mrnumber = {2840608},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2011_9_4_2_275_0}
}
Boccardo, Lucio. Lewy-Stampacchia Inequality in Quasilinear Unilateral Problems and Application to the G-convergence. Bollettino dell'Unione Matematica Italiana, Tome 4 (2011) pp. 275-282. http://gdmltest.u-ga.fr/item/BUMI_2011_9_4_2_275_0/
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