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...

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Bibliographic Details
Main Author: Chmara Magdalena
Format: Article
Language:English
Published: Sciendo 2023-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:https://doi.org/10.2478/amsil-2023-0014