Combined effects of singular and exponential nonlinearities in fractional kirchhoff problems

In this paper we establish the existence of at least two (weak) solutions for the following fractional Kirchhoff problem involving singular and exponential nonlinearities (equation presented) where is a smooth bounded domain of Rn, n ≥1, s 2 (0; 1), μ > 0 is a real parameter, β < n=(n - s) and q 2 (0; 1). The paper covers the so called degenerate Kirchhoff case and the existence proofs rely on the Nehari manifold techniques.