On a p(x)-Kirchhoff Problem with Variable Singular and Sublinear Exponents

In the present paper, we study a singular p(x)-Kirchhoff equation with combined effects of variable singular, β(x), and sublinear, q(x), nonlinearities. Using the Ekeland’s variational principle and a constrained minimization, we show the existence of a positive solution for the case variable singularity β(x) assumes its values in the interval (1, ∞). We provide an example to illustrate our results.