À propos de cet article
Publié en ligne: 28 août 2023
Pages: 240 - 247
Reçu: 02 févr. 2023
Accepté: 01 août 2023
DOI: https://doi.org/10.2478/amsil-2023-0014
Mots clés
© 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.