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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