Description

• Title:
  Lower and upper solutions to semilinear boundary value problems: an abstract approach
• Creator:
  Fonda, Alessandro;
  Toader, Rodica
• Description:
  We provide an abstract setting for the theory of lower and upper solutions to some semilinear boundary value problems. In doing so, we need to introduce an abstract formulation of the Strong Maximum Principle. We thus obtain a general version of some existence results, both in the case where the lower and upper solutions are well-ordered, and in the case where they are not so. Applications are given, e.g. to boundary value problems associated to parabolic equations, as well as to elliptic equations.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 38, No 1 (September 2011); 59 - 93;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.024/8412
• Subject:
  Lower and upper solutions;
  maximum principle;
  semilinear equations;
  parabolic and elliptic problems;
  35K20;
  35J25;
  34C25;
  34G20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.024
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other