Description

• Title:
  On a $p$-superlinear Neumann $p$-Laplacian equation
• Creator:
  Aizicovici, Sergiu;
  Papageorgiou, Nikolaos S.;
  Staicu, Vasile
• Description:
  We consider a nonlinear Neumann problem, driven by the $p$-Laplacian, and with a nonlinearity which exhibits a $p$-superlinear growth near infinity, but does not necessarily satisfy the Ambrosetti-Rabinowitz condition. Using variational methods based on critical point theory, together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions, of which two have a fixed sign (one positive and the other negative).
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 34, No 1 (September 2009); 111 - 130;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.032/8640
• Subject:
  p-superlinearity;
  mountain pass theorem;
  C-condition;
  Morse theory;
  critical groups;
  35J25;
  35J80;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.032
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other