Description

• Title:
  On a class of quasilinear elliptic problems with critical exponential growth on the whole space
• Creator:
  de Oliveira, José Francisco
• Description:
  In this paper we prove a kind of weighted Trudinger-Moser inequality which is employed to establish sufficient conditions for the existence of solutions to a large class of quasilinear elliptic differential equations with critical exponential growth. The class of operators considered includes, as particular cases, the Laplace, $p$-Laplace and $k$-Hessian operators when acting on radially symmetric functions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.12.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 529 - 550;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.086/10542 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.086/10543
• Subject:
  Trudinger-Moser inequality;
  quasilinear elliptic equation;
  critical growth;
  radial operators;
  35J92;
  46E35;
  26D10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.086
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other