Nonlocal Q-Laplacian Equation on the Heisenberg Group.

In this paper, we are concerned with a new nonlocal Q-Laplacian equation on the Heisenberg group in the smooth bounded domain. The nonlinear term f (ξ , u) has exponential growth behaving like exp (β | t | Q Q - 1 ) as | t | → ∞ with some β > 0 . Existence of solutions are obtained by an application of the mountain pass theorem and Ekeland's variational principle. Moreover, our results are new even on the Euclidean case. [ABSTRACT FROM AUTHOR]