TY  - BOOK
AU  - Diening,Lars
AU  - Harjulehto,Petteri
AU  - Hästö,Peter
AU  - Ruzicka,Michael
ED  - SpringerLink (Online service)
TI  - Lebesgue and Sobolev Spaces with Variable Exponents
T2  - Lecture Notes in Mathematics,
SN  - 9783642183638
AV  - QA299.6-433 
U1  - 515 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Functional analysis
KW  - Differential equations, partial
KW  - Analysis
KW  - Functional Analysis
KW  - Partial Differential Equations
N1  - 1 Introduction -- 2 A framework for function spaces -- 3 Variable exponent Lebesgue spaces -- 4 The maximal operator -- 5 The generalized Muckenhoupt condition* -- 6 Classical operators -- 7 Transfer techniques -- 8 Introduction to Sobolev spaces -- 9. Density of regular functions -- 10. Capacities -- 11 Fine properties of Sobolev functions -- 12 Other spaces of differentiable functions -- 13 Dirichlet energy integral and Laplace equation -- 14 PDEs and fluid dynamics
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-18363-8
ER  -