Tyagi, JagmohanJagmohanTyagi2025-08-302025-08-302014-05-0110.1515/anona-2013-00272-s2.0-84939805390https://d8.irins.org/handle/IITG2025/21544In this article, we prove the existence of nontrivial weak solutions to the singular boundary value problem ∫-Δhnu=μ g(E)u/(|z|+t2)1/2+λf(E,u) in Ω u=0 on ∂Ω on the Heisenberg group. We employ Bonanno's three critical point theorem to obtain the existence of weak solutions.trueNontrivial solutions | Singular elliptic equations | Variational methodsArticlehttps://www.degruyter.com/document/doi/10.1515/anona-2013-0027/pdf2191950X87-941 May 201414arJournal11WOS:000344199100003