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Existence and Nonexistence of Positive Solutions for Singular (p, q)-Equations with Superdiffusive Perturbation

Papageorgiou, Nikolaos S.; Winkert, Patrick

We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is parametric and exhibits the combined effects of a singular term and of a superdiffusive one. We prove an existence and nonexistence result for positive solutions depending on the value of the parameter šœ†āˆˆā„āˆ˜+=(0,+āˆž).
Published in: Results in Mathematics, 10.1007/s00025-021-01484-5, Springer Nature