Lebesgue and Sobolev Spaces with Variable Exponents, PDF eBook

Lebesgue and Sobolev Spaces with Variable Exponents PDF

Part of the Lecture Notes in Mathematics series

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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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