Description

• Title:
  An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities
• Creator:
  Perera, Kanishka
• Description:
  We establish an existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities using variational arguments. First we calculate certain homotopy groups of sublevel sets of the asymptotic part of the variational functional. Then we use these groups to show that the full functional admits a linking geometry and hence a min-max critical point.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 20, No 1 (September 2002); 135 - 144;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.029/9641
• Subject:
  quasilinear elliptic boundary value problems;
  jumping nonlinearities;
  Fucik spectrum;
  critical point theory on $C^1$-Finsler manifolds;
  homotopy theory;
  linking;
  min-max principle;
  Primary 35J20;
  Secondary 35P99;
  47J10;
  58E50
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.029
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other