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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

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Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
Annales Mathematicae Silesianae no. 37, pages 240 - 247,
ISSN: 0860-2107
Language:
English
Publication year:
2023
Bibliographic description:
Chmara M.: A Generalized Version of the Lions-Type Lemma// Annales Mathematicae Silesianae -,iss. 2 (2023), s.240-247
DOI:
Digital Object Identifier (open in new tab) 10.2478/amsil-2023-0014
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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