
A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains
Keywords: 35J62; 35J92; 35D30; 35B45; 35B05; 35B65; Neumann boundary conditions; W1,p-extension domain; Upper d-set; Weak solutions; A priori estimates; Hölder continuity; Sub-supersolution method; Leray-Schauder degree theory;