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.File in questo prodotto:
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