Approximating the inverse matrix of the G-limit through changes of variables in the plane
Gioconda Moscariello
Università degli Studi di Napoli Federico II, ItalyCarlo Sbordone
Università degli Studi di Napoli Federico II, ItalyFrançois Murat
Université Pierre et Marie Curie, Paris, France
Abstract
Let be a sequence of coercive symmetric matrices of with which -converges to . We prove that there exists a sequence of -quasiconformal mappings which converge locally uniformly to a -quasiconformal mapping such that -converges to . The result is specific to the two dimensional case but a similar result holds in dimension .
Cite this article
Gioconda Moscariello, Carlo Sbordone, François Murat, Approximating the inverse matrix of the G-limit through changes of variables in the plane. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 17 (2006), no. 2, pp. 167–174
DOI 10.4171/RLM/461