In this paper, we study existence and asymptotic behavior of nontrivial solutions of a series of problems in general open subsets Ω of the Heisenberg group Hn, possibly unbounded or even Hn. The problems involve the p-Laplacian operator on Hn, a Hardy coefficient and different critical nonlinearities. The main originality of the paper is to work in the Heisenberg group.
Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms / Bordoni Sara; Filippucci Roberta; Pucci Patrizia. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - ELETTRONICO. - 30:(2020), pp. 1887-1917. [10.1007/s12220-019-00295-z]
Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms
Bordoni Sara;Filippucci Roberta;
2020
Abstract
In this paper, we study existence and asymptotic behavior of nontrivial solutions of a series of problems in general open subsets Ω of the Heisenberg group Hn, possibly unbounded or even Hn. The problems involve the p-Laplacian operator on Hn, a Hardy coefficient and different critical nonlinearities. The main originality of the paper is to work in the Heisenberg group.
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