Description

• Title:
  Multiplicity of solutions of asymptotically linear Dirichlet problems associated to second order equations in R^{2n+1}
• Creator:
  Margheri, Alessandro;
  Rebelo, Carlota
• Description:
  We present a result about multiplicity of solutions of asymptotically linear Dirichlet problems associated to second order equations in R^(2n+1), n \geq 1. Under an additional technical condition, the number of solutions obtained is given by the gap between the Morse indexes of the linearizations at zero and in nity. The additional condition is stable with respect to small perturbations of the vector eld. We show with a simple example that in some cases the size of the perturbation can be explicitly estimated.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 1107 - 1118;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.083/7389 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.083/7392
• Subject:
  Dirichlet problem;
  asymptotically linear;
  multiplicity of solutions;
  topological methods;
  Primary;
  34B15;
  Secondary;
  34A26
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.083
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other