Description

• Title:
  Homoclinic orbits of first order nonlinear Hamiltonian systems with asymptotically linear nonlinearities at infinity
• Creator:
  Chen, Guanwei
• Description:
  By using variational methods and critical point theory, in particular, a generalized weak linking theorem, we study a first order nonlinear Hamiltonian system with asymptotically linear nonlinearity at infinity. We obtain the existence of ground state homoclinic orbits for this nonlinear Hamiltonian system. In particular, we obtain a {\it necessary and sufficient condition} for the existence of ground state homoclinic orbits. To the best of our knowledge, there is no published result focusing on necessary and sufficient conditions of the existence of ground state homoclinic orbits for this system.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 2 (June 2016); 499 - 510;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.038/8680 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.038/8681
• Subject:
  Nonlinear Hamiltonian system;
  necessary and sufficient condition;
  ground state homoclinic orbit;
  asymptotically linear;
  generalized weak linking theorem;
  37J45;
  37K05;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other