Description

• Title:
  Symmetry results for perturbed problems and related questions
• Creator:
  Grossi, Massimo;
  Pacella, Filomena;
  Yadava, S. L.
• Description:
  In this paper we prove a symmetry result for positive solutions of the Dirichlet problem $$ \cases -\Delta u=f(u) & \hbox{in }D,\\ u=0 & \hbox{on }\partial D, \endcases \tag{0.1} $$ when $f$ satisfies suitable assumptions and $D$ is a small symmetric perturbation of a domain $\Omega$ for which the Gidas-Ni-Nirenberg symmetry theorem applies. We consider both the case when $f$ has subcritical growth and $f(s)=s^{(N+2)/(N-2)}+\lambda s$, $N\ge3$, $\lambda$ suitable positive constant.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 21, No 2 (June 2003); 211 - 226;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.013/9600
• Subject:
  Elliptic equations;
  symmetry of solutions;
  35B38;
  35B50;
  35J10;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.013
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other