Lebesgue and Sobolev Spaces with Variable Exponents

• Κύριοι συγγραφείς: Diening, Lars (Συγγραφέας), Harjulehto, Petteri (Συγγραφέας), Hästö, Peter (Συγγραφέας), Ruzicka, Michael (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2017
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Analysis.; Functional Analysis.; Partial Differential Equations.
• Φυσική περιγραφή: 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.