Given a non-linear elliptic equation of monotone type in a bounded open set Omega subset of R-N, we prove that the asymptotic behaviour, as j --> infinity, of the solutions of the Dirichlet problems corresponding to a sequence (Omega(j)) Of Open sets contained in Omega is uniquely determined by the asymptotic behaviour, as j --> infinity, of suitable non-linear capacities of the sets K Omega(j), Where K runs in the family of all compact subsets of Omega.
A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators / Gianni Dal, Maso; Garroni, Adriana; Igor V., Skrypnik. - In: JOURNAL D'ANALYSE MATHEMATIQUE. - ISSN 0021-7670. - 71:1(1997), pp. 263-313. [10.1007/bf02788033]
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Titolo: | A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators | |
Autori: | ||
Data di pubblicazione: | 1997 | |
Rivista: | ||
Citazione: | A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators / Gianni Dal, Maso; Garroni, Adriana; Igor V., Skrypnik. - In: JOURNAL D'ANALYSE MATHEMATIQUE. - ISSN 0021-7670. - 71:1(1997), pp. 263-313. [10.1007/bf02788033] | |
Handle: | http://hdl.handle.net/11573/44281 | |
Appartiene alla tipologia: | 01a Articolo in rivista |