Description

• Title:
  Nontrivial solutions for superquadratic nonautonomous periodic systems
• Creator:
  Hu, Shouchuan;
  Papageorgiou, Nikolaos S.
• Description:
  We consider a nonautonomous second order periodic system with an indefinite linear part. We assume that the potential function is superquadratic, but it may not satisfy the Ambrosetti-Rabinowitz condition. Using an existence result for $C^1$-functionals having a local linking at the origin, we show that the system has at least one nontrivial solution.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 34, No 2 (December 2009); 327 - 338;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.045/8635
• Subject:
  Superquadratic potential;
  AR-condition;
  spectral resolution;
  local linking;
  C-condition;
  periodic solution;
  34C25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.045
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other