Description

• Title:
  Resonant Robin problems with indefinite and unbounded potential
• Creator:
  Papageorgiou, Nikolaos S.;
  Smyrlis, George
• Description:
  We study a semilinear Robin problem with an indefinite and unbounded potential and a reaction term which asymptotically at $ \pm \infty $ is resonant with respect to any nonprincipal nonnegative eigenvalue. We prove two multiplicity theorems producing three and four nontrivial solutions respectively. Our approach uses variational methods based on the critical point theory, truncation and perturbation techniques, and Morse theory (critical groups).
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 51 - 74;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.062/9875 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.062/9876
• Subject:
  Indefinite and unbounded potential;
  resonance;
  Robin boundary condition;
  maximum principle;
  critical groups;
  multiple solutions;
  35J20;
  35J60;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.062
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other