Abstract and Applied Analysis
Volume 2006 (2006), Article ID 26845, 15 pages

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

Vladimir Kozlov

Department of Mathematics, Linköping University, Linköping 58183, Sweden

Received 17 March 2006; Accepted 24 April 2006

Copyright © 2006 Vladimir Kozlov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.