Anisotropic singular Neumann equations with unbalanced growthPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) modular functiontruncationcomparison principleminimal solutionanisotropic regularityWe consider a nonlinear parametric Neumann problem driven by the anisotropic ▫$(p, q)$▫-Laplacian and a reaction which exhibits the combined effects of a singular term and of a parametric superlinear perturbation. We are looking for positive solutions. Using a combination of topological and variational tools together with suitable truncation and comparison techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. We also show the existence of minimal positive solutions ▫$u_{\lambda }^{\ast}$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto u_{\lambda }^{\ast}$▫.20222022-05-25 07:31:52Članek v reviji136915sl