Radial singular solutions for the N-Laplace equation with exponential nonlinearities

Abstract In this paper, we consider radial distributional solutions of the quasilinear equation − Δ N u = f ( u ) in the punctured open ball B R \ { 0 } ⊂ R N , N ≥ 2 . We obtain sharp conditions on the nonlinearity f for extending such solutions to the whole domain B R by preserving the regularity. For a certain class of nonlinearity f we obtain the existence of singular solutions and deduce upper and lower estimates on the growth rate near the singularity.