An eigenvalue problem for a generalized polyharmonic operator in Orlicz-Sobolev spaces without the ${\Delta }_2$-condition

Ignacio Ceresa Dussel, Julián Fernández Bonder, Pablo Ochoa

In this paper, we consider a generalized polyharmonic eigenvalue problem of the form $A(u)=\lambda h(u)$ in a bounded smooth domain with Dirichlet boundary conditions in the setting of h…