Degenerate anisotropic differential operators and applications

Veli Shakhmurov; Ravi Agarwal; Donal O'Regan

doi:10.1155/2011/268032

Degenerate anisotropic differential operators and applications

Veli Shakhmurov, Ravi Agarwal, Donal O'Regan

Mathematics

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2 Citations (Scopus)

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.

Original language	English
Article number	268032
Number of pages	0
Journal	Boundary Value Problems
Volume	2011
DOIs	https://doi.org/10.1155/2011/268032
Publication status	Published - 1 Jan 2011

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Authors
Agarwal, R;O'Regan, D;Shakhmurov, V

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10.1155/2011/268032

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AB - 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 Lp 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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Degenerate anisotropic differential operators and applications

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