Global multiplicity for parametric anisotropic Neumann ▫$(p,q)$▫-equations

Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-

COBISS.SI-ID: 143318019

We consider a Neumann boundary value problem driven by the anisotropic (p, q)-Laplacian plus a parametric potential term. The reaction is “superlinear”. We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.