Description

• Title:
  The existence of nontrivial critical point for a class of strongly indefinite asymptotically quadratic functional without compactness
• Creator:
  Liu, Guanggang;
  Shi, Shaoyun;
  Wei, Yucheng
• Description:
  In this paper, we show the existence of nontrivial critical point for a class of strongly indefinite asymptotically quadratic functional without compactness, by using the technique of penalized functionals and an infinite dimensional Morse theory developed by Kryszewski and Szulkin. Two applications are given to Hamiltonian systems and elliptic systems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 43, No 2 (June 2014); 323 - 344;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.019/8133
• Subject:
  Strongly indefinite functional;
  filtration;
  Morse index;
  critical group;
  Hamiltonian system;
  elliptic system;
  Primary 58E05;
  Secondary 34C25;
  58F05;
  35J65
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.019
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other