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

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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… Click to show full abstract

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} .

Keywords: concentration positive; kirchhoff type; multiplicity concentration; positive solutions; solutions fractional; fractional kirchhoff

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2021

Link to full text (if available)


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