Description

• Title:
  Existence and multiplicity of solutions for resonant nonlinear Neumann problems
• Creator:
  Aizicovici, Sergiu;
  Papageorgiou, Nikolaos S.;
  Staicu, Vasile
• Description:
  We consider nonlinear Neumann problems driven by the $p$-Laplacian differential operator with a Caratheodory nonlinearity. Under hypotheses which allow resonance with respect to the principal eigenvalue $\lambda_{0}$ $=0$ at $\pm\infty$, we prove existence and multiplicity results. Our approach is variational and uses critical point theory and Morse theory (critical groups).
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 35, No 2 (June 2010); 235 - 252;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.014/8441
• Subject:
  Resonant problems;
  homological local linking;
  linking sets;
  Neumann p-Laplacian;
  Primary 35J25;
  35J70;
  Secondary 58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.014
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other