Generalized version of the Lions-type lemma
- Resource Type
- Working Paper
- Authors
- Chmara, Magdalena
- Source
- Subject
- Mathematics - Analysis of PDEs
- Language
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.