Lebesgue and Sobolev spaces with variable exponents

The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is ti...

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Detalles Bibliográficos
Autores principales: Diening, Lars, Harjulehto, Petteri, Hästö, Peter, Ruzicka, Michael
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-18363-8
http://cds.cern.ch/record/1691776
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author Diening, Lars
Harjulehto, Petteri
Hästö, Peter
Ruzicka, Michael
author_facet Diening, Lars
Harjulehto, Petteri
Hästö, Peter
Ruzicka, Michael
author_sort Diening, Lars
collection CERN
description The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2011
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spelling cern-16917762021-04-21T21:07:10Zdoi:10.1007/978-3-642-18363-8http://cds.cern.ch/record/1691776engDiening, LarsHarjulehto, PetteriHästö, PeterRuzicka, MichaelLebesgue and Sobolev spaces with variable exponentsMathematical Physics and MathematicsThe field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.Springeroai:cds.cern.ch:16917762011
spellingShingle Mathematical Physics and Mathematics
Diening, Lars
Harjulehto, Petteri
Hästö, Peter
Ruzicka, Michael
Lebesgue and Sobolev spaces with variable exponents
title Lebesgue and Sobolev spaces with variable exponents
title_full Lebesgue and Sobolev spaces with variable exponents
title_fullStr Lebesgue and Sobolev spaces with variable exponents
title_full_unstemmed Lebesgue and Sobolev spaces with variable exponents
title_short Lebesgue and Sobolev spaces with variable exponents
title_sort lebesgue and sobolev spaces with variable exponents
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-18363-8
http://cds.cern.ch/record/1691776
work_keys_str_mv AT dieninglars lebesgueandsobolevspaceswithvariableexponents
AT harjulehtopetteri lebesgueandsobolevspaceswithvariableexponents
AT hastopeter lebesgueandsobolevspaceswithvariableexponents
AT ruzickamichael lebesgueandsobolevspaceswithvariableexponents

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