Nontrivial solutions for singular semilinear elliptic equations on the Heisenberg group

In this article, we prove the existence of nontrivial weak solutions to the singular boundary value problem ∫-Δhnu=μ g(E)u/(|z|+t2)1/2+λf(E,u) in Ω u=0 on ∂Ω on the Heisenberg group. We employ Bonanno's three critical point theorem to obtain the existence of weak solutions.