Description

• Title:
  On the relative category in the brake orbits problem
• Creator:
  Corona, Dario;
  Giambò, Roberto;
  Giannoni, Fabio;
  Piccione, Paolo
• Description:
  In this paper %dedicated to the memory of Edward Fadell and Sufian Husseini we show how the notion of the Lusternik-Schnirelmann relative category can be used to study a multiplicity problem for brake orbits in a potential well which is homeomorphic to the $N$-dimensional unit disk. The estimate of the relative category of the set of chords with endpoints on the $(N-1)$-unit sphere was shown to the third author by Fadell and Husseini while he was visiting the University of Wisconsin at Madison.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Dario Corona, Roberto Giambò, Fabio Giannoni, Paolo Piccione;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.03.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 1 (March 2023); 199 - 215;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42926/35045 ;https://apcz.umk.pl/TMNA/article/view/42926/35046
• Subject:
  Lusternik-Schnirelmann category;
  variational inequalities;
  brake orbits;
  Primary: 58E05;
  Secondary: 58E10, 37J46
• Identifier: https://apcz.umk.pl/TMNA/article/view/42926
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other