ENGLISH

Lebesgue and Sobolev spaces with variable exponents

By Michael Růžička (auth.) , Lars Diening , Petteri Harjulehto , Peter Hästö

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
364218362X, 9783642183621
DOI
10.1007/978-3-642-18363-8
Language
english
Format
PDF
Filesize
4 MB (3770585 bytes)
Series
Lecture Notes in Mathematics 2017
Edition
1
Pages
509\526
Library
Kolxo3
Time added
2011-07-22 07:35:22
Analysis; Functional Analysis; Partial Differentia

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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