Description

• Title:
  Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli
• Creator:
  Castro, Alfonso;
  Finan, Marcel B.
• Description:
  We study the existence of many nonradial sign-changing solutions of a superlinear Dirichlet boundary value problem in an annulus in $\mathbb R^N$. We use Nehari-type variational method and group invariance techniques to prove that the critical points of an action functional on some spaces of invariant functions in $H_{0}^{1,2}(\Omega_{\varepsilon})$, where $\Omega_{\varepsilon}$ is an annulus in $\mathbb R^N$ of width $\varepsilon$, are weak solutions (which in our case are also classical solutions) to our problem. Our result generalizes an earlier result of Castro et al. (See [A. Castro, J. Cossio and J. M. Neuberger, < i> A minmax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems< /i> , Electron. J. Differential Equations < b> 2< /b> (1998), 1–18]).
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 13, No 2 (June 1999); 273 - 279;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.014/10037
• Subject:
  Dirichlet's problem;
  superlinear;
  subcritical;
  sign-changing nonradial solution;
  group action;
  symmetric criticality lemma;
  variational method;
  35J20;
  35J25;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.014
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other