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Degenerate anisotropic differential operators and applications

Agarwal, Ravi
; 
O'Regan, Donal
; 
Shakhmurov, Veli
Identifiers
http://hdl.handle.net/10379/10138
 https://doi.org/10.13025/27398
Publication Date
2011-01-01
Keywords
boundary-value-problems, equations, spaces
Type
Article
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Citation
Agarwal, Ravi; O'Regan, Donal; Shakhmurov, Veli (2011). Degenerate anisotropic differential operators and applications. Boundary Value Problems ,
Abstract
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 L-p 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.
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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)