Description

• Title:
  Moser-Harnack inequality, Krasnosel'skii type fixed point theorems in cones and elliptic problems
• Creator:
  Precup, Radu
• Description:
  Fixed point theorems of Krasnosel'skiĭ type are obtained for the localization of positive solutions in a set defined by means of the norm and of a semi-norm. In applications to elliptic boundary value problems, the semi-norm comes from the Moser-Harnack inequality for nonnegative superharmonic functions whose use is crucial for the estimations from below. The paper complements and gives a fixed point alternative approach to our similar results recently established in the frame of critical point theory. It also provides a new method for discussing the existence and multiplicity of positive solutions to elliptic boundary value problems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 40, No 2 (December 2012); 301 - 313;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.033/8381
• Subject:
  Fixed point index;
  cone;
  elliptic equation;
  positive solution;
  Moser-Harnack inequality;
  35J65;
  47H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.033
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other