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Boccardo, Lucio:
Lewy-Stampacchia Inequality in Quasilinear Unilateral Problems and Application to the G-convergence
Bollettino dell'Unione Matematica Italiana Serie 9 4 (2011), fasc. n.2, p. 275-282, (English)
pdf (250 Kb), djvu (75 Kb). | MR 2840608 | Zbl 1234.35115

Sunto

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.
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