Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
Roberta Filippucci, Patrizia Pucci, Vicenţiu D. Rădulescu · Communications in Partial Differential Equations · 2008
Existence 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 nonlinearities.