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Sobolev Spaces

2018
AbstractThis chapter presents a selection of some of the most important results in the theory of Sobolev spacesn. Special emphasis is placed on embedding theorems and the question as to whether an embedding map is compact or not. Some results concerning the k-set contraction nature of certain embedding maps are given, for both bounded and unbounded ...
D. E. Edmunds, W. D. Evans
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Sobolev Spaces

2021
George C. Hsiao, Wolfgang L. Wendland
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Sobolev spaces

2007
Abstract In this chapter we define Sobolev spaces which are the ‘natural’ spaces of functions in which to solve variational formulations of partial differential equations. Physically, Sobolev spaces can be interpreted as spaces of functions with finite energy.
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A new class of fractional Orlicz-Sobolev space and singular elliptic problems

Journal of Mathematical Analysis and Applications, 2023
Maria Alessandra Ragusa
exaly  

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