On a class of singular anisotropic $(p,q)$-equations

Published 2 Jul 2020 in math.AP | (2007.00945v3)

Abstract: We consider a Dirichlet problem driven by the anisotropic $(p,q)$-Laplacian and with a reaction that has the competing effects of a singular term and of a parametric superlinear perturbation. Based on variational tools along with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter varies.

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