A Generalized Version of the Lions-Type Lemma

Autor: Chmara Magdalena
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Annales Mathematicae Silesianae, Vol 37, Iss 2, Pp 240-247 (2023)
Druh dokumentu: article
ISSN: 2391-4238
DOI: 10.2478/amsil-2023-0014
Popis: 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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