We prove a stability property for the solutions of the problem u ∈ C : 〈A(u), v − u〉 ≥ 0, ∀ v ∈ C, (0.1) with respect to Mosco convergence of convex sets. Here, A is a Leray–Lions operator defined on W01,p(Ω) with 1 < p < +∞ and C is a closed convex subset of W01,p(Ω).
Stability results for variational inequalities in Sobolev spaces under Mosco Convergence of convex sets / Boccardo, L., Picerni, M.. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - 47:1(2026), pp. 47-53.
Stability results for variational inequalities in Sobolev spaces under Mosco Convergence of convex sets
Boccardo L.;Picerni M.
2026-01-01
Abstract
We prove a stability property for the solutions of the problem u ∈ C : 〈A(u), v − u〉 ≥ 0, ∀ v ∈ C, (0.1) with respect to Mosco convergence of convex sets. Here, A is a Leray–Lions operator defined on W01,p(Ω) with 1 < p < +∞ and C is a closed convex subset of W01,p(Ω).File in questo prodotto:
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