2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131880Existence and non-existence results are established for quasilinear elliptic problems with nonlinear boundary conditions and lack of compactness. The proofs combine variational methods with the geometrical feature, due to the competition between the different growths of the non-linearities.Communications in Partial Differential Equations, in pressAnalysis of PDEs35J60; 58E05text