Description

• Title:
  Non-radial solutions with orthogonal subgroup invariance for semilinear Dirichlet problems
• Creator:
  Kajikiya, Ryuji
• Description:
  A semilinear elliptic equation, $-\Delta u=\lambda f(u)$, is studied in a ball with the Dirichlet boundary condition. For a closed subgroup $G$ of the orthogonal group, it is proved that the number of non-radial $G$ invariant solutions diverges to infinity as $\lambda$ tends to $\infty$ if $G$ is not transitive on the unit sphere.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 21, No 1 (March 2003); 41 - 51;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.003/9614
• Subject:
  Semilinear elliptic equation;
  group invariant solution;
  non-radial solution;
  variational method;
  35J20;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.003
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other