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

Papageorgiou, Nikolaos S.; Winkert, Patrick

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.
Published in: Revista Matemática Complutense, 10.1007/s13163-021-00395-x, Springer Nature