Abstract We consider the drifting p -Laplace operator equation* , ₕu=e^-v div\, (eᵛ | u|^p-2 u) equation* and discuss generalized weighted Hardy-type inequalities associated with the measure d=e^v (x) dx. As an application, we obtain several Liouville-type results for positive solutions of the non-linear elliptic problem with singular lower order term equation*-, ₕ u c (x) u^p-1+B | u|ᵖu in\, equation* where Ω is a bounded or an unbounded exterior domain in RN, N p 1, B+p-1 0, as well as of the non-autonomous quasilinear elliptic problem equation*-, ₕ u+b (x) | u|^p-1 c (x) u^p-1 in\, equation* with general weights b0 and c > 0. Liouville-type results are also discussed for a class of higher order differential equations.
Aghajani et al. (Wed,) studied this question.