Overview
- First book in the area of research
- Self-contained presentation suitable for both graduate students and researchers
- Comprehensive book with extensive index and nomenclature
- Applications for the developed theory is presented in the book
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2017)
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Keywords
Table of contents (14 chapters)
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Lebesgue spaces
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Sobolev spaces
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Applications to partial differential equations
Reviews
From the reviews:
“The authors provide a comprehensive survey of the state of the art concerning Lebesgue and Sobolev spaces with variable exponents. … The book is also having a rich bibliography of 399 entries, a long list of symbols and an index. It will certainly become a standard reference in this field and stimulate further work in this direction.” (H. G. Feichtinger, Monatshefte für Mathematik, Vol. 165 (1), January, 2012)
“The book is devoted to Lebesgue and Soboley spaces with variable exponents. … The present book consists of the introduction and three parts. … The majority of the results presented in the monograph were obtained by the authors and their collaborators. … the books is a useful source of unified information on Lebesgue and Soboley spaces with variable exponents.” (Alexei Yu. Karlovich, Zentralblatt MATH, Vol. 1222, 2011)
“This book consists of three parts of different lengths and intentions, sub-divided into several chapters. There is a nice figure at the very beginning of the monograph explaining the dependencies among the chapters, together with some recommendations on which parts should be used for first reading or when teaching the subject in a graduate course. … the presentation can thus also be considered as a textbook and extremely useful reference for graduate students and researchers working in related fields … .” (Dorothee D. Haroske, Mathematical Reviews, January, 2013)
Authors and Affiliations
Bibliographic Information
Book Title: Lebesgue and Sobolev Spaces with Variable Exponents
Authors: Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-18363-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-18362-1Published: 31 March 2011
eBook ISBN: 978-3-642-18363-8Published: 29 March 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 509
Number of Illustrations: 10 b/w illustrations
Topics: Analysis, Functional Analysis, Partial Differential Equations