Aydın, IsmailKefi, Khaled2026-04-252026-04-2520250430-3202https://doi.org/10.1007/s11565-025-00593-1https://hdl.handle.net/11486/8009We study the following p.-triharmonic problem (Formula presented.) where Ω is a smooth bounded domain in RN, and λ>0 is a parameter. Using some variational methods and compact embedding results for variable exponent third-order Sobolev space, we obtain the existence of weak solutions for the problem. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2025.eninfo:eu-repo/semantics/closedAccessp.-triharmonic operatorVariable exponent Sobolev spacesVariational methodsArticle71210.1007/s11565-025-00593-12-s2.0-105004355483Q2