Description

• Title:
  A generalized version of the Lions-type lemma
• Creator:
  Chmara, Magdalena
• Description:
  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.
• Object availability:
  free access
• Date:
  2023.08.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol. 37 No. 2 (2023); 240-247;
  Annales Mathematicae Silesianae; Tom 37 Nr 2 (2023); 240-247;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/15880/12186
• Subject:
  Lions-type result;
  concentration-compactness;
  unbounded domains
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/15880
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other