The Resource Differential operators on spaces of variable integrability, David E. Edmunds, Jan Lang, Osvaldo Mendez

Differential operators on spaces of variable integrability, David E. Edmunds, Jan Lang, Osvaldo Mendez

Label
Differential operators on spaces of variable integrability
Title
Differential operators on spaces of variable integrability
Statement of responsibility
David E. Edmunds, Jan Lang, Osvaldo Mendez
Creator
Contributor
Author
Subject
Genre
Language
  • eng
  • eng
Summary
The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting examples of non-rearrangement-invariant function spaces but also in view of their applications, which include the mathematical modeling of electrorheological fluids and image restoration. The main focus of this book is to provide a solid fu
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Edmunds, D. E.
Dewey number
515.73
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA323
LC item number
.E25 2014
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Lang, Jan
  • Mendez, Osvaldo
http://library.link/vocab/subjectName
  • Function spaces
  • Sobolev spaces
  • Differential operators
Label
Differential operators on spaces of variable integrability, David E. Edmunds, Jan Lang, Osvaldo Mendez
Instantiates
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Preface; Contents; 1. Preliminaries; 1.1 The Geometry of Banach Spaces; 1.2 Spaces with Variable Exponent; 2. Sobolev Spaces with Variable Exponent; 2.1 Definition and Functional-analytic Properties; 2.2 Sobolev Embeddings; 2.3 Compact Embeddings; 2.3.1 Potential estimates and the class Plog(Ω); 2.4 Riesz Potentials; 2.5 Poincare-type Inequalities; 2.5.1 A remark on the geometry of the domain; 2.5.2 Poincare's inequalities; 2.6 Embeddings; 2.7 Holder Spaces with Variable Exponents; 2.8 Compact Embeddings Revisited; 3. The p(·)-Laplacian; 3.1 Preliminaries; 3.2 The p(·)-Laplacian
  • 3.3 Stability with Respect to Integrability4. Eigenvalues; 4.1 The Derivative of the Modular; 4.2 Compactness and Eigenvalues; 4.3 Modular Eigenvalues; 4.4 Stability with Respect to the Exponent; 4.5 Convergence Properties of the Eigenfunctions; 4.5.1 Alternative Rayleigh quotients; 5. Approximation on Lp Spaces; 5.1 s-numbers and n-widths; 5.1.1 s-numbers; 5.1.2 n-widths; 5.2 A Sobolev Embedding; 5.2.1 The case when p is a step-function; 5.2.2 The case of strongly log-Holder-continuous exponent; 5.3 IntegralOperators; 5.3.1 The case when p is a step-function
  • 5.3.2 The case of strongly log-Holder-continuous pBibliography; Author Index; Subject Index; Notation Index
Dimensions
unknown
Extent
1 online resource (223 p.)
Form of item
online
Isbn
9789814596329
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)3710000000214661
  • (EBL)1766815
  • (SSID)ssj0001287750
  • (PQKBManifestationID)12518800
  • (PQKBTitleCode)TC0001287750
  • (PQKBWorkID)11291763
  • (PQKB)10622962
  • (MiAaPQ)EBC1766815
  • (WSP)00009124
  • (EXLCZ)993710000000214661
Label
Differential operators on spaces of variable integrability, David E. Edmunds, Jan Lang, Osvaldo Mendez
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Preface; Contents; 1. Preliminaries; 1.1 The Geometry of Banach Spaces; 1.2 Spaces with Variable Exponent; 2. Sobolev Spaces with Variable Exponent; 2.1 Definition and Functional-analytic Properties; 2.2 Sobolev Embeddings; 2.3 Compact Embeddings; 2.3.1 Potential estimates and the class Plog(Ω); 2.4 Riesz Potentials; 2.5 Poincare-type Inequalities; 2.5.1 A remark on the geometry of the domain; 2.5.2 Poincare's inequalities; 2.6 Embeddings; 2.7 Holder Spaces with Variable Exponents; 2.8 Compact Embeddings Revisited; 3. The p(·)-Laplacian; 3.1 Preliminaries; 3.2 The p(·)-Laplacian
  • 3.3 Stability with Respect to Integrability4. Eigenvalues; 4.1 The Derivative of the Modular; 4.2 Compactness and Eigenvalues; 4.3 Modular Eigenvalues; 4.4 Stability with Respect to the Exponent; 4.5 Convergence Properties of the Eigenfunctions; 4.5.1 Alternative Rayleigh quotients; 5. Approximation on Lp Spaces; 5.1 s-numbers and n-widths; 5.1.1 s-numbers; 5.1.2 n-widths; 5.2 A Sobolev Embedding; 5.2.1 The case when p is a step-function; 5.2.2 The case of strongly log-Holder-continuous exponent; 5.3 IntegralOperators; 5.3.1 The case when p is a step-function
  • 5.3.2 The case of strongly log-Holder-continuous pBibliography; Author Index; Subject Index; Notation Index
Dimensions
unknown
Extent
1 online resource (223 p.)
Form of item
online
Isbn
9789814596329
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)3710000000214661
  • (EBL)1766815
  • (SSID)ssj0001287750
  • (PQKBManifestationID)12518800
  • (PQKBTitleCode)TC0001287750
  • (PQKBWorkID)11291763
  • (PQKB)10622962
  • (MiAaPQ)EBC1766815
  • (WSP)00009124
  • (EXLCZ)993710000000214661

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