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 fractional Kirchhoff problems involving singular and exponential nonlinearities. The paper covers the so called degenerate Kirchhoff case and the existence proofs rely on the Nehari manifold techniques. As far as we know, this is the first paper dealing with singular degenerate Kirchhoff problems with exponential nonlinearity In such a way, we develop an exhaustive analysis of solutions based on the combined effects produced by these nonlinearities. The paper also contains new estimates, which can be useful for the treatment of other classes of nonlocal problems.