Goldstein, Gisele RuizGoldstein, Jerome A.Kombe, Ismail2023-11-132023-11-132023https://hdl.handle.net/11467/7031https://doi.org/10.3934/dcdss.2023135Let Hn = Cn R be the 2n+1-dimensional Heisenberg group and be a bounded domain with smooth boundary @ in Hn. This paper deals with the nonexistence of positive solutions to the problem(Formula Presented) where Lu is the subelliptic p-Laplacian operator on the Heisenberg group Hn, p > 1, 2 R, s > 0, V 2 L1 loc(), 2 R and q > 0. We also demonstrate several applications of our main result using concrete potentials with sharp constants derived from Hardy and Leray type inequalities.eninfo:eu-repo/semantics/restrictedAccessCritical exponents; Hardy-Leray inequalities; Nonexistence.; Positive solutionsArticle16923542363Q2WOS:001023125000001N/A2-s2.0-8517365805110.3934/dcdss.2023135