Open AccessMultiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions
Author(s) -
Jie Yang,
Haibo Chen
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021096
Subject(s) - nehari manifold , multiplicity (mathematics) , mathematics , regular polygon , sign (mathematics) , pure mathematics , combinatorics , mathematical analysis , geometry , physics , nonlinear system , quantum mechanics
The aim of this paper is to study the multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions and concave-convex nonlinearities with subcritical or critical growth. Applying Nehari manifold, fibering maps and Ljusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the global maximum set of \begin{document}$ K $\end{document} .