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arXiv · 2101.05915

Positive solutions for singular anisotropic $(p,q)$-equations

Nikolaos S. Papageorgiou·Patrick Winkert
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Abstract

In this paper we consider a Dirichlet problem driven by an anisotropic $(p,q)$-differential operator and a parametric reaction having the competing effects of a singular term and of a superlinear perturbation. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter moves. Moreover, we prove the existence of a minimal positive solution and determine the monotonicity and continuity properties of the minimal solution map.

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Nikolaos S. Papageorgiou, Patrick Winkert. 2021-01-15. Positive solutions for singular anisotropic $(p,q)$-equations. https://arxiv.org/abs/2101.05915

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