Description

• Title:
  Resonant Neumann equations with indefinite linear part
• Creator:
  Livrea, Roberto;
  Papageorgiou, Nikolaos S.;
  Barletta, Giuseppina
• Description:
  We consider aseminonlinear Neumann problem driven by the $p$-Laplacian plus an indefinite and unbounded potential. The reaction of the problem is resonant at $\pm \infty$ with respect to the higher parts of the spectrum. Using critical point theory, truncation and perturbation techniques, Morse theory and the reduction method, we prove two multiplicity theorems. One produces three nontrivial smooth solutions and the second four nontrivial smooth solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 45, No 2 (June 2015); 469 - 491;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.023/7455
• Subject:
  Resonant equation;
  critical groups;
  reduction method;
  multiple solutions;
  unique continuation property;
  5J80;
  35J85;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.023
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other