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

2020/07/02 by Papageorgiou, Nikolaos S., Winkert, Patrick
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.00945

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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