Research Article
Degenerate Anisotropic Differential Operators and Applications
1 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
2 Department of Mathematics, National University of Ireland, Galway, Ireland
3 Department of Electronics Engineering and Communication, Okan University, Akfirat, Tuzla 34959 Istanbul, Turkey
Boundary Value Problems 2011, 2011:268032 doi:10.1155/2011/268032
Published: 23 February 2011Abstract
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.
