---
res:
  bibo_abstract:
  - Given l>2ν>2d≥4, we prove the persistence of a Cantor--family of KAM tori of measure
    O(ε1/2−ν/l) for any non--degenerate nearly integrable Hamiltonian system of class
    Cl(D×Td), where D⊂Rd is a bounded domain, provided that the size ε of the perturbation
    is sufficiently small. This extends a result by D. Salamon in \cite{salamon2004kolmogorov}
    according to which we do have the persistence of a single KAM torus in the same
    framework. Moreover, it is well--known that, for the persistence of a single torus,
    the regularity assumption can not be improved.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Edmond
      foaf_name: Koudjinan, Edmond
      foaf_surname: Koudjinan
      foaf_workInfoHomepage: http://www.librecat.org/personId=52DF3E68-AEFA-11EA-95A4-124A3DDC885E
    orcid: 0000-0003-2640-4049
  bibo_doi: 10.1016/j.jde.2020.03.044
  bibo_issue: '6'
  bibo_volume: 269
  dct_date: 2020^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-0396
  dct_language: eng
  dct_publisher: Elsevier@
  dct_subject:
  - Analysis
  dct_title: A KAM theorem for finitely differentiable Hamiltonian systems@
...