Description

• Title:
  Multiple positive solutions for a fractional elliptic systems involving sign-changing weight
• Creator:
  Fan, Haining
• Description:
  We study multiplicity results for positive solutions for a fractional elliptic system involving both concave-convex and critical growth terms. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we investigate how the coefficient $h$ of the critical nonlinearity affects the number of positive solutions to this problem and get a relationship between the number of positive solutions and the topology of the global maximum set of $h$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.05.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 757 - 781;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.009/12119 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.009/12120
• Subject:
  Nehari manifold;
  fractional elliptic system;
  Lusternik-Schnirelmann category;
  multiple positive solutions;
  35J50;
  35J57;
  35J66
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other