Description

• Title:
  Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces
• Creator:
  Silva, Edcarlos D.;
  Carvalho, Marcos Leandro;
  Silva, K.;
  Gonçalves, José Valdo
• Description:
  In the paper the existence, uniqueness and the multiplicity of solutions for a quasilinear elliptic problems driven by the $\Phi$-Laplacian operator is established. Here we consider the non-reflexive case taking into account the Orlicz and Orlicz-Sobolev framework. The non-reflexive case occurs when the $N$-function $\widetilde{\Phi}$ does not verify the $\Delta_{2}$-condition. In order to prove our main results we employ variational methods, regularity results and truncation arguments.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.10.06
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 587 - 612;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.078/18484 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.078/18485
• Subject:
  Variational methods;
  quasilinear elliptic problems;
  positive solutions;
  reflexive and non-reflexive Banach spaces;
  Primary;
  35J20;
  35J25;
  Secondary;
  35J60;
  35J92;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.078
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other