Three solutions for a nonlocal fractionalp-Kirchhoff type elliptic system

A Class of Variable-Order Fractional p · -Kirchhoff-Type Systems

“…Of course, when pðxÞ ≡ pðorp = 2Þ and sð•Þ ≡ s, the operators in (1) reduce to the classical non-local fractional p -Laplacian, i.e., ð−ΔÞ s p (ð−ΔÞ s ). Similarly, for the Kirchhofftype system cases, the papers [14][15][16][17][18][19][20] introduce a lot of related work in recent years, where many authors studied the existence and multiplicity of solutions by applying variational methods. For instance, based on the three critical points theorem, Azroul et al ( [15]) discussed an elliptic system with the homogeneous Dirichlet boundary conditions, and they obtained the existence of three weak solutions.…”

Existence of Solutions for a Class of Fractional Kirchhoff-type Systems in $\mathbb{R}^N$ with Non-standard Growth

“…For the problems involving fractional Kirchhoff type, we refer the reader to the works [1,[3][4][5][6], where the authors use different methods to establish the existence of solutions.…”

Three solutions for a fractional (p(x,.),q(x,.))-Kirchhoff type elliptic system

“…Motivated by [7,9,10,21], our main goal is to prove the existence of three positive solutions for problem (P 1 ). Our approach is based on the three critical points theorem introduced by Ricceri.…”