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A Generalized Version of the Lions-Type Lemma

In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions. This lemma generalizes some results for a class of Orlicz–Sobolev spaces. What matters here is the behavior of the integral, not the space

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DOI
Digital Object Identifier link open in new tab 10.2478/amsil-2023-0014
Category
Publikacja w czasopiśmie
Type
artykuły w czasopismach
Language
angielski
Publication year
2023

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