Description

• Title:
  Existence of solutions for a class of degenerate elliptic equations in $P(x)$-Sobolev spaces
• Creator:
  Aharrouch, Benali;
  Boukhrij, Mohamed;
  Bennouna, Jaouad
• Description:
  We study the Dirichlet problem for degenerate elliptic equations of the form \begin{equation*} - \mbox{div} a(x,u,\nabla u)+ H(x,u,\nabla u)= f \quad \mbox{in } \Omega, \end{equation*} where $ a(x,u,\nabla u)$ is allowed to degenerate with respect to the unknown $u$, and $H(x,u,\nabla u)$ is a nonlinear term without sign condition. Under suitable conditions on $a$ and $H$, we prove the existence of bounded and unbounded solution for a datum $f\in L^m$, with $1\leq m\leq \infty$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.05.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 51, No 2 (June 2018); 389 - 411;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.065/14808 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.065/14809
• Subject:
  Weak and entropy solutions;
  degenerate elliptic equations;
  Sobolev spaces with variable exponent;
  Stampacchia methods;
  Primary;
  47A15;
  Secondary;
  46A32;
  47D20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.065
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other