Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain.
The present paper deals with the homogenization of the singular numbers (so-called \(s\)-numbers) generated by a non-selfadjoint Dirichlet problem for a higher-order elliptic equation in a sequence of perforated domains. The author establishes the convergence j\(s\)-numbers generated by the problem to the corresponding \(s\)-numbers generated by a limit (homogenized) problem of the ``same type''. As an application the author derives an homogenization result for the principal eigenvalue and the corresponding principal eigenfunction of a non-selfadjoint second-order elliptic problem in perforated domain.
scientific article; zbMATH DE number 1784762