In this paper we study the existence and the asymptotic behavior of nontrivial solutions of a series of problems in general open subsets A of the Heisenberg group H^n, possibly unbounded. The problems involve the p-Laplacian operator on H^n, 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
Roberta Filippucci;Patrizia Pucci
2020
Abstract
In this paper we study the existence and the asymptotic behavior of nontrivial solutions of a series of problems in general open subsets A of the Heisenberg group H^n, possibly unbounded. The problems involve the p-Laplacian operator on H^n, a Hardy coefficient and different critical nonlinearities. The main originality of the paper is to work in the Heisenberg group.File in questo prodotto:
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