In this talk, I will present recent results obtained jointly with Mousomi Bhakta and Anup Biswas (IISER Pune, India) on Liouville-type theorems for a class of nonhomogeneous quasilinear elliptic equations driven by the (p,q)-Laplacian operator, where the source term depends on a power of the norm of the gradient of the solution. The proofs are based on two main approaches: a Bernstein-type technique adapted to the delicate setting of nonhomogeneous operators, and a variant of the classical Ishii–Lions method.