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]
A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators
GARRONI, Adriana;
1997
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
