Description

• Title:
  Localization of positive critical points in Banach spaces and applications
• Creator:
  Precup, Radu;
  Varga, Csaba
• Description:
  Two critical point theorems of M. Schechter in a ball of a Hilbert space are extended to uniformly convex Banach spaces by exploiting the properties of the duality mapping. Moreover, the critical points are sought in the intersection of a ball with a wedge, in particular with a cone, making possible applications to positive solutions of variational problems. The extension from Hilbert to Banach spaces not only requires a major refining of reasoning, but also a different statement by adding a third possibility to the original two alternatives from Schechter's results. The theory is applied to positive solutions for $p$-Laplace equations.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.05.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 817 - 833;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.011/12128 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.011/12129
• Subject:
  Critical point;
  mountain pass lemma;
  positive solution;
  p-Laplace equation;
  58E05;
  47J30;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other