  The purpose of this paper is to investigate the existence of three different
weak solutions to a nonlinear elliptic problem that is governed by the weighted
{\varphi}-Laplacian operator and subjected to Dirichlet boundary conditions. We
also examine the presence of sequences of variational eigenvalues in two
distinct scenarios, one with and one without assuming the {\Delta_2}-condition.
Our main results are obtained through technical proofsthat combine a Lagrange
multipliers type approach with the Ljusternik-Schnirelmann argument.
