Description

• Title:
  On nonlinear Schrödinger equations with attractive inverse-power potentials
• Creator:
  Dinh, Van Duong
• Description:
  We study the Cauchy problem for nonlinear Schrödinger equations with attractive inverse-power potentials. By using variational arguments, we first determine a sharp threshold of global well-posedness and blow-up for the equation in the mass-supercritical case. We next study the existence and orbital stability of standing waves for the problem in the mass-subcritical and mass-critical cases. In the mass-critical case, we give a detailed description of the blow-up behavior of standing waves when the mass tends to a critical value.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis
• Date:
  2021.05.25
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 2 (June 2021); 489 - 523;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.046/29007 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.046/29008
• Subject:
  Nonlinear Schrödinger equation;
  inverse-power potential;
  standing waves;
  stability;
  global well-posedness;
  blow-up;
  Primary;
  35A15;
  35Q55;
  Secondary;
  35J35;
  35B44
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.046
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other