Description

• Title:
  Local Morrey estimate in Musielak-Orlicz-Sobolev space
• Creator:
  Liu, Duchao;
  Zhao, Peihao
• Description:
  Under appropriate assumptions on the $N(\Omega)$-fucntion, locally uniform Morrey estimate is presented in the Musielak-Orlicz-Sobolev space. The assumptions include a new increasing condition on the $x$-derivative of the Young complementary function of the $N(\Omega)$-fucntion. The conclusion applies to several important nonlinear examples frequently appeared in mathematical literature.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Duchao Liu, Peihao Zhao;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.06.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 2 (June 2023); 637 - 650;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/44696/35881 ;https://apcz.umk.pl/TMNA/article/view/44696/35882
• Subject:
  Musielak-Sobolev space;
  Morrey estimate;
  Hölder continuity;
  Primary: 35B65, 35J62;
  Secondary: 35B38
• Identifier: https://apcz.umk.pl/TMNA/article/view/44696
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other