A generalized version of the Lions-type lemma
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.
Keywords
Lions-type result; concentration-compactness; unbounded domains
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Wydział Fizyki Technicznej i Matematyk Stosowanej, Politechnika Gdańska Poland
https://orcid.org/0000-0003-1418-8545
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