On a nonlinear partial differential equation with a p.-triharmonic operator

We 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.