Given a non-linear elliptic equation of monotone type in a bounded open set Ω ⊂ Rn, we prove that the asymptotic behaviour, as j → ∞, of the solutions of the Dirichlet problems corresponding to a sequence (Ωj) of open sets contained in Ω is uniquely determined by the asymptotic behaviour, as j → ∞, of suitable non-linear capacities of the sets K \ Ωj, where K runs in the family of all compact subsets of Ω.

A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators

Dal Maso G.;
1997-01-01

Abstract

Given a non-linear elliptic equation of monotone type in a bounded open set Ω ⊂ Rn, we prove that the asymptotic behaviour, as j → ∞, of the solutions of the Dirichlet problems corresponding to a sequence (Ωj) of open sets contained in Ω is uniquely determined by the asymptotic behaviour, as j → ∞, of suitable non-linear capacities of the sets K \ Ωj, where K runs in the family of all compact subsets of Ω.
1997
71
263
313
Dal Maso, G.; Garroni, A.; Skrypnik, I. V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13232
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