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arXiv · 2301.04389

Generalized version of the Lions-type lemma

Magdalena Chmara
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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.

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Magdalena Chmara. 2023-01-11. Generalized version of the Lions-type lemma. https://arxiv.org/abs/2301.04389

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