Dwivedi, G.G.DwivediTyagi, J.J.Tyagi2025-08-302025-08-302016-12-0110.1007/s00030-016-0412-z2-s2.0-84992055641https://d8.irins.org/handle/IITG2025/21796The goal of this paper is to establish singular Adams type inequality for biharmonic operator on Heisenberg group. As an application, we establish the existence of a solution to ΔHn2u=f(ξ,u)ρ(ξ)ainΩ,u|∂Ω=0=∂u∂ν|∂Ω,where 0 ∈ Ω ⊆ H⁴ is a bounded domain, 0≤a≤Q,(Q=10). The special feature of this problem is that it contains an exponential nonlinearity and singular potential.falseBi-Laplacian | Heisenberg group | Singular Adams inequality | Variational methodsArticlehttps://link.springer.com/content/pdf/10.1007/s00030-016-0412-z.pdf142090041 December 2016958arJournal6