Description

• Title:
  Anisotropic elliptic equations in $\mathbb R^{N}$: existence and regularity results
• Creator:
  Bendahmane, Mostafa;
  El Manouni, Said
• Description:
  We investigate a class of anisotropic elliptic equations in the whole $\mathbb R^N$. By a variational approach, we obtain existence and regularity of nontrivial solutions in the framework of anisotropic Sobolev spaces. In addition, when the data is assumed to be merely locally integrable, the existence of solutions is established for a subclass of equations.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 36, No 1 (September 2010); 129 - 151;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.032/8469
• Subject:
  Anisotropic elliptic equations;
  existence and regularity results;
  Mountain Pass Theorem;
  $L^1$ data;
  35J60;
  35K55
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.032
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other