Abstract‎‎‎ In this paper‎,‎ we study a nonlocal eigenvalue problem involving variable exponent
growth conditions‎,‎ on a bounded domain Ω⊂R^n‎.‎ Using adequate variational techniques‎,‎ …

In this paper, we investigate the existence and multiplicity of solutions for a class of quasi-
linear problems involving fractional differential equations in the χ-fractional space H κ (x) γ …

The paper deals with the following Kirchhoff‐type problem M∬ ℝ 2 N 1 p (x, y)| v (x)− v (y)| p
(x, y)| x− y| N+ p (x, y) s (x, y) dxdy (− Δ) p (·) s (·) v (x)= μ g (x, v)+| v| r (x)− 2 v in Ω, v= 0 in ℝ …

In this paper, we study local regularity properties of minimizers of nonlocal variational
functionals with variable exponents and weak solutions to the corresponding Euler …

In this manuscript, it is introduced a new mean curvature operator which involves a φ-Hilfer
fractional operator (φ-HFO) and variable exponents and appropriated fractional spaces to …

In this paper, we study the fractional p (⋅,⋅)-Laplacian, and we introduce the corresponding
nonlocal conormal derivative for this operator. We prove the basic properties of the …

We are interested in the existence of solutions for the following fractional p (x,⋅)-Kirchhoff-
type problem:{M (∫ Ω× Ω| u (x)− u (y)| p (x, y) p (x, y)| x− y| N+ p (x, y) sdxdy)(− Δ) p (x,⋅) su …

In this paper, we use variational approaches to establish the existence of weak solutions for
a class of Kirchhoff-type equations with fractional p_ 1 (x) p 1 (x) & p_ 2 (x) p 2 (x)-Laplacian …

This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with
variable exponent W^ s, p (.), ̃ p (.,.)(Ω) W s, p (.), p~(.,.)(Ω), when p and ̃ pp~ satisfy some …

In this paper, we give some properties of the new fractional Sobolev spaces with variable
exponents and apply them to study a class of eigenvalue problems involving the fractional p …