Description

• Title:
  Existence and Concentrate Behavior of Schrödinger equations with critical exponential growth in $\mathbb{R}^N$
• Creator:
  Zhang, Jian;
  Zou, Wenming
• Description:
  We consider the nonlinear Schrödinger equation \begin{equation*} -\Delta u + (1+\mu g(x))u = f(u) \quad \text{in } \mathbb{R}^N, \end{equation*} where $N \ge 3$, $\mu \ge 0$; the function $g \ge 0$ has a potential well and $f$ has critical growth. By using variational methods, the existence and concentration behavior of the ground state solution are obtained.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 345 - 370;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.058/9869 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.058/9870
• Subject:
  Schrödinger equations;
  Critical growth;
  Ground state solution;
  Concentration;
  35J60;
  35A15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.058
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other