Description

• Title:
  Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth
• Creator:
  Yang, Jie;
  Liu, Lintao;
  Meng, Fengjuan
• Description:
  The aim of this paper is to study the multiplicity and concentration of positive solutions to the $(p,q)$ Kirchhoff-type problems involving a positive potential and a continuous nonlinearity with critical growth at infinity. Applying penalization techniques, truncation methods and the Lusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the set where the potential $V$ attains its minimum values.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Jie Yang, Lintao Liu, Fengjuan Meng
• Date:
  2024.03.03
• 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); 481 - 513;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/49148/37878 ;https://apcz.umk.pl/TMNA/article/view/49148/37879
• Subject:
  (p,q) Kirchhoff type problems;
  concentration;
  Nehari manifold;
  Lusternik--Schnirelmann theory;
  critical growth;
  35R11, 49J35
• Identifier: https://apcz.umk.pl/TMNA/article/view/49148
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other