Description

• Title:
  Existence of solutions in the sense of distributions of anisotropic nonlinear elliptic equations with variable exponent
• Creator:
  Benboubker, Mohamed Badr;
  Chrayteh, Houssam;
  Hjiaj, Hassane;
  Yazough, Chihab
• Description:
  The aim of this paper is to study the existence of solutions in the sense of distributions for a~strongly nonlinear elliptic problem where the second term of the equation $f$ is in $ W^{-1,\overrightarrow{p}'(\,\cdot\,)}(\Omega)$ which is the dual space of the anisotropic Sobolev $W_{0}^{1,\overrightarrow{p}(\,\cdot\,)}(\Omega)$ and later $f$ will be in~$L^{1}(\Omega)$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 665 - 694;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.063/7238 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.063/7239
• Subject:
  Anisotropic Sobolev spaces;
  variable exponent;
  strongly nonlinear elliptic equations;
  boundary value problems;
  solution in the sense of distributions;
  Primary;
  35J66;
  46E35;
  Secondary;
  35D30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.063
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other