The paper deals with the existence of nontrivial solutions for (p, Q) equations in the Heisenberg group 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) growth of the elliptic operator and the fact that the equation is studied in the entire Heisenberg group.
Existence for singular critical exponential (p,Q) equations in the Heisenberg group / Pucci P.; Temperini L.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - ELETTRONICO. - 15:(2022), pp. 601-617. [10.1515/acv-2020-0028]
Existence for singular critical exponential (p,Q) equations in the Heisenberg group
Temperini L.
2022
Abstract
The paper deals with the existence of nontrivial solutions for (p, Q) equations in the Heisenberg group 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) growth of the elliptic operator and the fact that the equation is studied in the entire Heisenberg group.
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