Description

• Title:
  Partially symmetric solutions of the generalized Hénon equation in symmetric domains
• Creator:
  Kajikiya, Ryuji
• Description:
  We study the generalized H\'{e}non equation in a symmetric domain $\Omega$. Let $H$ and $G$ be closed subgroups of the orthogonal group such that $H \varsubsetneq G$ and $\Omega$ is $G$ invariant. Then we show the existence of a positive solution which is $H$ invariant but $G$ non-invariant under suitable assumptions of $H$, $G$ and the coefficient function of the equation.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 1 (September 2015); 191 - 221;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.043/7206
• Subject:
  H\'{e}non equation;
  group invariant solution;
  least energy solution;
  positive solution;
  variational method;
  Primary;
  35J20;
  35J25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.043
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other