Description

• Title:
  Symmetry breaking solutions of nonlinear elliptic systems
• Creator:
  Bracho, Javier;
  Clapp, Mónica;
  Marzantowicz, Wacław
• Description:
  We consider nonlinear elliptic systems with Dirichlet boundary condition on a bounded domain in $\mathbb R^{N}$ which is invariant with respect to the action of some group $G$ of orthogonal transformations. For every subgroup $K$ of $G$ we give a simple criterion for the existence of infinitely many solutions which are $K$-invariant but not $G$-invariant. We include a detailed discussion of the case $N=3$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 26, No 1 (September 2005); 189 - 201;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.030/9283
• Subject:
  Variational elliptic systems;
  symmetry breaking;
  Primary 35J50;
  Secondary 58E40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.030
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other