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Lebesgue and Sobolev Spaces with Variable Exponents [Repost]
![Lebesgue and Sobolev Spaces with Variable Exponents [Repost]](https://pixhost.icu/avaxhome/f6/a6/0039a6f6.jpeg)
Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka - Lebesgue and Sobolev Spaces with Variable Exponents
Published: 2011-04-12 | ISBN: 364218362X | PDF | 509 pages | 3.84 MB
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.