Description

• Title:
  On the critical $p$-Kirchhoff equation
• Creator:
  Hasani, Erisa;
  Perera, Kanishka
• Description:
  We study a nonlocal elliptic equation of $p$-Kirchhoff type involving the critical Sobolev exponent. First we give sufficient conditions for the $(\text{PS})$ condition to hold. Then we prove some existence and multiplicity results using tools from Morse theory, in particular, the notion of a cohomological local splitting and eigenvalues based on the Fadell-Rabinowitz cohomological index.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Erisa Hasani, Kanishka Perera
• Date:
  2023.02.26
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 1 (March 2023); 383 - 391;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42807/34956 ;https://apcz.umk.pl/TMNA/article/view/42807/34957
• Subject:
  $p$-Kirchhoff equation;
  critical Sobolev exponent;
  existence;
  multiplicity;
  Morse theory;
  Fadell-Rabinowitz cohomological index;
  cohomological local splitting;
  Primary: 35J92;
  Secondary: 35B33, 58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/42807
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other