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Publicado en línea: 28 ago 2023
Páginas: 240 - 247
Recibido: 02 feb 2023
Aceptado: 01 ago 2023
DOI: https://doi.org/10.2478/amsil-2023-0014
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© 2023 Magdalena Chmara, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.