Description

• Title:
  Equivalence between uniform $L^{2^\star}(\Omega)$ a-priori bounds and uniform $L^{\infty}(\Omega)$ a-priori bounds for subcritical elliptic equations
• Creator:
  Castro, Alfonso;
  Mavinga, Nsoki;
  Pardo, Rosa
• Description:
  We provide sufficient conditions for a uniform $L^{2^\star}(\Omega)$ bound to imply a uniform $L^\infty (\Omega)$ bound for positive classical solutions to a class of subcritical elliptic problems in bounded $C^2$ domains in ${\mathbb R}^N$. We also establish an equivalent result for sequences of boundary value problems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.01.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 1 (March 2019); 43 - 56;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.036/16619 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.036/16620
• Subject:
  A priori estimates;
  positive solutions;
  subcritical nonlinearity;
  radial solutions;
  Primary;
  35B45;
  35B33;
  Secondary;
  35B09;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.036
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other