Generalized version of the Lions-type lemma
Analysis of PDEs
2023-01-12 v1
Abstract
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.
Cite
@article{arxiv.2301.04389,
title = {Generalized version of the Lions-type lemma},
author = {Magdalena Chmara},
journal= {arXiv preprint arXiv:2301.04389},
year = {2023}
}