We prove that the asymptotic behaviour of the solutions of Dirichlet problems for second-order, linear, not necessarily symmetric elliptic equations in perforated domains of the form Omega(h) = OmegaE-h is uniquely determined by the asymptotic behaviour, as h --> infinity, of suitable capacities of the sets B boolean AND E-h, where B runs in a conveniently large class of subsets of Omega.
The capacity method for asymptotic Dirichlet problems / G., Dal Maso; Garroni, Adriana. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 15:3-4(1997), pp. 299-324.
The capacity method for asymptotic Dirichlet problems
GARRONI, Adriana
1997
Abstract
We prove that the asymptotic behaviour of the solutions of Dirichlet problems for second-order, linear, not necessarily symmetric elliptic equations in perforated domains of the form Omega(h) = OmegaE-h is uniquely determined by the asymptotic behaviour, as h --> infinity, of suitable capacities of the sets B boolean AND E-h, where B runs in a conveniently large class of subsets of Omega.File allegati a questo prodotto
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