Description

• Title:
  A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
• Creator:
  Perera, Kanishka;
  Sportelli, Caterina
• Description:
  We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in \cite{MR4293883}.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Kanishka Perera, Caterina Sportelli
• Date:
  2024.06.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 63, No 2 (June 2024); 717 - 731;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/52724/38791 ;https://apcz.umk.pl/TMNA/article/view/52724/38792
• Subject:
  Critical elliptic problems;
  differences of local and nonlocal operators;
  multiplicity of solutions;
  Primary: 35R11;
  Secondary: 35B33, 35J20
• Identifier: https://apcz.umk.pl/TMNA/article/view/52724
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other