Degenerate Schrodinger-Kirchhoff (p, N)- Laplacian problem with singular Trudinger-Moser nonlinearity in RN

In this paper, we deal with the existence of nontrivial nonnegative solutions for a ( p, N)- Laplacian Schrodinger-Kirchhoff problem in R-N with singular exponential nonlinearity. The main features of the paper are the ( p, N) growth of the elliptic operators, the double lack of compactness, and the fact that the Kirchhoff function is of degenerate type. To establish the existence results, we use the mountain pass theorem, the Ekeland variational principle, the singular Trudinger-Moser inequality, and a completely new Brezis-Lieb-type lemma for singular exponential nonlinearity.