Description

• Title:
  A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space
• Creator:
  Albuquerque, Francisco S. B.;
  Aouaoui, Sami
• Description:
  We establish a version of the Trudinger-Moser inequality involving unbounded or decaying radial weights in weighted Sobolev spaces. In the light of this inequality and using a minimax procedure we also study existence of solutions for a class of quasilinear elliptic problems involving exponential critical growth.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.07.13
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 1 (September 2019); 109 - 130;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.027/17993 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.027/17994
• Subject:
  Trudinger-Moser inequality;
  quasilinear elliptic problems;
  weight functions;
  Exponential critical growth;
  Mountain pass theorem;
  Primary;
  35A23;
  Secondary;
  35B33;
  35J50;
  35J92
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.027
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other