Description

• Title:
  Multiple nodal solutions for semilinear Robin problems with indefinite linear part and concave terms
• Creator:
  Papageorgiou, Nikolaos S.;
  Vetro, Calogero;
  Vetro, Francesca
• Description:
  We consider a semilinear Robin problem driven by Laplacian plus an indefinite and unbounded potential. The reaction function contains a concave term and a perturbation of arbitrary growth. Using a variant of the symmetric mountain pass theorem, we show the existence of smooth nodal solutions which converge to zero in $C^1(\overline{\Omega})$. If the coefficient of the concave term is sign changing, then again we produce a sequence of smooth solutions converging to zero in $C^1(\overline{\Omega})$, but we cannot claim that they are nodal.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.08.19
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 1 (September 2017); 269 - 286;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.029/12634 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.029/12635
• Subject:
  Indefinite potential;
  nodal solutions;
  extremal constant sign solutions;
  regularity theory;
  concave term;
  Primary;
  35J20;
  Secondary;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.029
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other