Journal
NETWORKS AND HETEROGENEOUS MEDIA
Volume 7, Issue 1, Pages 151-178Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/nhm.2012.7.151
Keywords
Homogenization; Steklov problem
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We consider homogenization of Steklov spectral problem for a divergence form elliptic operator in periodically perforated domain under the assumption that the spectral weight function changes sign. We show that the limit behaviour of the spectrum depends essentially on wether the average of the weight function over the boundary of holes is positive, or negative or equal to zero. In all these cases we construct the asymptotics of the eigenpairs.
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