Abstract
We investigate the existence of a positive solution for a singular elliptic problem of the N-Kirchhoff type involving a nonlocal operator. The nonlinearity considered in the equation consists of two terms: one has a subcritical, critical or supercritical exponential growth governed by the Trudinger–Moser inequality, and the other one presents a singularity at the origin. We also show a result of nonexistence of solutions in dimension 2. Finally, we study the asymptotic behavior of the solutions with respect to the parameter.
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