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<p>Our main goal is to show the existence of critical points for the functional associated with the logarithmic weighted Trudinger–Moser inequality, as introduced by M. Calanchi and B. Ruf in [<CitationRef CitationID="CR5">5</CitationRef>], particularly beyond the critical constant. Our argument relies on the Lions concentration-compactness principle and some ideas presented by M. Struwe in [<CitationRef CitationID="CR30">30</CitationRef>].</p>

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Maximizers for the logarithmic Trudinger–Moser functional beyond the critical threshold

  • 期刊论文

  • 发表日期：

    2025年12月3日

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  • Ruan Diego da Silva Paiva,
  • José Francisco de Oliveira

摘要

Our main goal is to show the existence of critical points for the functional associated with the logarithmic weighted Trudinger–Moser inequality, as introduced by M. Calanchi and B. Ruf in [5], particularly beyond the critical constant. Our argument relies on the Lions concentration-compactness principle and some ideas presented by M. Struwe in [30].