Positive solutions for singular p(z)$p(z)$‐equations

Zhenhai Liu and Nikolaos S. Papageorgiou

Mathematische Nachrichten, 2023, vol. 296, issue 5, 2024-2045

Abstract: We consider a Dirichlet problem driven by the anisotropic p‐Laplacian, with a reaction having the competing effects of a singular term and a parametric superlinear perturbation. We prove a bifurcation‐type theorem describing the changes of the set of positive solutions as the parameter varies. We also prove the existence of minimal positive solutions.

Date: 2023
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https://doi.org/10.1002/mana.202100288

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