Description

• Title:
  Regularity of weak solutions for aclass of elliptic PDEs in Orlicz-Sobolev spaces
• Creator:
  Maksymiuk, Jakub;
  Wroński, Karol
• Description:
  We consider the elliptic partial differential equation in the divergence form \[ -\mathrm{div}(\nabla G(\nabla u(x)))+ F_u(x,u(x))=0, \] where $G$ is a convex, anisotropic function satisfying certain growth and ellipticity conditions. We prove that weak solutions in $W^{1,G}$ are in fact of class $W^{2,2}_{\loc}\cap W^{1,\infty}_{\loc}$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.05.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 55, No 2 (June 2020); 583 - 600;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.106/25732 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.106/25733
• Subject:
  Regularity;
  elliptic equations;
  Orlicz-Sobolev spaces;
  35J20;
  35B65;
  35B40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.106
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other