Description

• Title:
  Multiple solitary wave solutions of nonlinear Schrödinger systems
• Creator:
  Tian, Rushun;
  Wang, Zhi-Qiang
• Description:
  Consider the $N$-coupled nonlinear elliptic system $$ \cases \displaystyle -\Delta U_j+ U_j=\mu U_j^3+\beta U_j\sum_{k\neq j} U_k^2 \quad \text{in } \Omega,\\ U_j> 0 \quad\text{in } \Omega,\quad U_j=0 \quad \text{on } \partial\Omega,\ j=1, \ldots, N. \endcases \tag P $$ where $\Omega$ is a smooth and bounded (or unbounded if $\Omega$ is radially symmetric) domain in $\mathbb R^n$, $n\leq3$. By using a $Z_N$ index theory, we prove the existence of multiple solutions of (P) and show the dependence of multiplicity results on the coupling constant $\beta$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 37, No 2 (June 2011); 203 - 223;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.011/8400
• Subject:
  Nonlinear Schrödinger system;
  Nehari manifold;
  a $Z_N$-index theory;
  35B05;
  35B32;
  35J50;
  58C40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other