%0 Journal Article
%J Ann. Inst. H. Poincaré. Anal. Non Linéaire 21 (2004), (4), p. 445-486.
%D 2004
%T Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
%A Gianni Dal Maso
%A Francois Murat
%X We consider a sequence of Dirichlet problems in varying domains (or, more generally, of relaxed Dirichlet problems involving measures in M_0) for second order linear elliptic operators in divergence form with varying matrices of coefficients. When the matrices H-converge to a matrix A^0, we prove that there exist a subsequence and a measure mu^0 in M_0 such that the limit problem is the relaxed Dirichlet problem corresponding to A^0 and mu^0. We also prove a corrector result which provides an explicit approximation of the solutions in the H^1-norm, and which is obtained by multiplying the corrector for the H-converging matrices by some special test function which depends both on the varying matrices and on the varying domains.
%B Ann. Inst. H. Poincaré. Anal. Non Linéaire 21 (2004), (4), p. 445-486.
%I SISSA Library
%G en
%U http://hdl.handle.net/1963/1611
%1 2507
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T13:05:17Z (GMT). No. of bitstreams: 1\\r\\nmath.AP0205225.pdf: 404809 bytes, checksum: 472524cb28afed2e55fcf0a7c46e7598 (MD5)\\r\\n Previous issue date: 2002
%0 Journal Article
%J Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999), no. 4, 741-808
%D 1999
%T Renormalized solutions of elliptic equations with general measure data
%A Gianni Dal Maso
%A Francois Murat
%A Luigi Orsina
%A Alain Prignet
%B Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999), no. 4, 741-808
%I Scuola Normale Superiore di Pisa
%G en
%U http://hdl.handle.net/1963/1236
%1 2707
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T12:55:08Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999