Abstract and Applied Analysis
Volume 2006 (2006), Article ID 26845, 15 pages
doi:10.1155/AAA/2006/26845

Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues

Abstract

We consider eigenvalues of elliptic boundary value problems, written in variational form, when the leading coefficients are perturbed by terms which are small in some integral sense. We obtain asymptotic formulae. The main specific of these formulae is that the leading term is different from that in the corresponding formulae when the perturbation is small in L∞-norm.