Copyright © 2011 Ravi Agarwal et al. 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.
The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach-valued spaces are
given. Sharp estimates for resolvent, discreetness of spectrum, and completeness
of root elements of the corresponding differential operators are obtained. In the
last section, some applications of the main results are given.