Description

• Title:
  Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems
• Creator:
  Adachi, Shinji
• Description:
  We study the existence of non-collision periodic solutions with prescribed energy for the following singular Hamiltonian systems: $$ \cases \ddot q+\nabla V(q)=0, \\ \displaystyle \frac{1}{2}|\dot q|^2+V(q)=H. \endcases $$ In particular for the potential $V(q)\sim -1/\text{\rm dist} (q,D)^\alpha$, where the singular set $D$ is a non-empty compact subset of $\mathbb R^N$, we prove the existence of a non-collision periodic solution for all $H> 0$ and $\alpha\in (0,2)$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 25, No 2 (June 2005); 275 - 296;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.014/9267
• Subject:
  Singular Hamiltonian system;
  periodic solution;
  minimax theory;
  58E05;
  34C25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.014
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other