Razani, AbdolrahmanSevim, Esra SengelenBabaei, Sakineh2026-04-042026-04-0420251027-54872224-6851https://doi.org/10.11650/tjm/241202https://hdl.handle.net/11411/10622In this paper, we consider a representation of the competing Finsler double phase equation, i.e., a representation of the competing Finsler double phase equation in the Heisenberg groups H n . We prove the existence of a generalized variational solution for the nonlinear Dirichlet problem driven by the Finsler-Laplacian competing operator in the Heisenberg group. This solution differs from the concept of the weak solution. To achieve this, we employ a Galerkin type procedure as part of our methodology.eninfo:eu-repo/semantics/openAccessGeneralized Variational SolutionHeisengerg GroupFinsler LaplacianArticle2-s2.0-10500762064310.11650/tjm/24120210.11650/tjm/2412025893Q357529Q3WOS:001382233900001