Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Artikel i vetenskaplig tidskrift, 2013
Spectral asymptotics of linear periodic elliptic operatorswith indefinite (sign-changing)
density function is investigated in perforated domains with the two-scale convergence
method. The limiting behavior of positive and negative eigencouples depends crucially
on whether the average of the weight over the solid part is positive, negative or equal
to zero. We prove concise homogenization results in all three cases.
indefinite weight function