Razani, AbdolrahmanSevim, Esra Sengelen2026-04-042026-04-0420251747-69331747-6941https://doi.org/10.1080/17476933.2024.2443542https://hdl.handle.net/11411/10538n this study, we consider a nonlinear eigenvalue problem including a Khon-Spencer p(xi )-biharmonic operator under Dirichlet boundary conditions in the Heisenberg group framework. By conducting rigorous analysis, we prove the existence of a positive constant lambda > 0 such that any lambda is an element of (0, lambda), is an eigenvalue for the problem. Our stud-ies relies on variational techniques in the Heisenberg Sobolev space HWk,p(xi )(Omega), where Omega subset of H-n is a Poincare-Sobolev domain.eninfo:eu-repo/semantics/closedAccessP(X)-Biharmonic OperatorHeisenberg GroupNonlinear Eigenvalue ProblemVariational MethodArticle2-s2.0-8521427954510.1080/17476933.2024.244354210.1080/17476933.2024.2443542205012Q2203670Q3WOS:001392642100001