Abstract

AbstractThe paper deals with the existence of nontrivial solutions for(p,Q)(p,Q)equations in the Heisenberg groupHn\mathbb{H}^{n}with critical exponential growth at infinity and a singular behavior at the origin. The main features and novelty of the paper are the above generality on the right-hand side of the equation, the(p,Q)(p,Q)growth of the elliptic operator and the fact that the equation is studied in the entire Heisenberg group.

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