Lebesgue and Sobolev Spaces with Variable Exponents

• Main Authors: Diening, Lars (Author), Harjulehto, Petteri (Author), Hästö, Peter (Author), Ruzicka, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Lecture Notes in Mathematics, 2017
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Analysis.; Functional Analysis.; Partial Differential Equations.
• Physical Description: IX, 509 p. 10 illus. online resource.
• ISBN: 9783642183638
• ISSN: 0075-8434 ;

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.