Abstract
In this paper, we study existence and asymptotic behavior of nontrivial solutions of a series of problems in general open subsets $$\Omega $$ of the Heisenberg group $$\mathbb {H}^n$$, possibly unbounded or even $$\mathbb {H}^n$$. The problems involve the p-Laplacian operator on $$\mathbb {H}^n$$, a Hardy coefficient and different critical nonlinearities. The main originality of the paper is to work in the Heisenberg group.
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