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:10.1155/2011/268032Published: 23 February 2011
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.