Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions | Zendy

Jie Yang | Zendy; Haibo Chen | Zendy

Open Access

Multiplicity 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 andamp 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} .

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