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
Authors
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.2478/amsil-2023-0014
- Category
- Publikacja w czasopiśmie
- Type
- artykuły w czasopismach
- Language
- angielski
- Publication year
- 2023
Source: MOSTWiedzy.pl - publication "A Generalized Version of the Lions-Type Lemma" link open in new tab