About this article
Published Online: Aug 28, 2023
Page range: 240 - 247
Received: Feb 02, 2023
Accepted: Aug 01, 2023
DOI: https://doi.org/10.2478/amsil-2023-0014
Keywords
© 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.