Opis

• Title:
  Infinitely many positive solutions of fractional boundary value problems
• Creator:
  Ge, Bin;
  Rădulescu, Vicenţiu D.;
  Zhang, C. J.
• Description:
  We are concerned with the qualitative analysis of solutions of a class of fractional boundary value problems with Dirichlet boundary conditions. By combining a direct variational approach with the theory of the fractional derivative spaces, we establish the existence of infinitely many distinct positive solutions whose $E^\alpha$-norms and $L^\infty$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.02.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 647 - 664;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.001/10982 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.001/10983
• Subject:
  Fractional differential equation;
  oscillatory nonlinearities;
  infinitely many solutions;
  variational methods
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe