---
res:
  bibo_abstract:
  - "We consider the cubic–quintic nonlinear Schrödinger equation: (mathematical formular)\r\nIn
    the first part of the paper, we analyze the one-parameter family of ground state
    solitons associated to this equation with particular attention to the shape of
    the associated mass/energy curve. Additionally, we are able to characterize the
    kernel of the linearized operator about such solitons and to demonstrate that
    they occur as optimizers for a one-parameter family of inequalities of Gagliardo–Nirenberg
    type. Building on this work, in the latter part of the paper we prove that scattering
    holds for solutions belonging to the region R of the mass/energy plane where the
    virial is positive. We show that this region is partially bounded by solitons
    also by rescalings of solitons (which are not soliton solutions in their own right).
    The discovery of rescaled solitons in this context is new and highlights an unexpected
    limitation of any virial-based methodology.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Rowan
      foaf_name: Killip, Rowan
      foaf_surname: Killip
  - foaf_Person:
      foaf_givenName: Tadahiro
      foaf_name: Oh, Tadahiro
      foaf_surname: Oh
  - foaf_Person:
      foaf_givenName: Oana
      foaf_name: Pocovnicu, Oana
      foaf_surname: Pocovnicu
  - foaf_Person:
      foaf_givenName: Monica
      foaf_name: Visan, Monica
      foaf_surname: Visan
      foaf_workInfoHomepage: http://www.librecat.org/personId=056daca0-b8d1-11f0-964f-f91054abf8ca
  bibo_doi: 10.1007/s00205-017-1109-0
  bibo_volume: 225
  dct_date: 2017^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0003-9527
  - http://id.crossref.org/issn/1432-0673
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation
    on R^3@
...