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arXiv · 2009.06785

Existence and nonexistence of positive solutions for singular (p,q)-equations with superdiffusive perturbation

Nikolaos S. Papageorgiou·Patrick Winkert
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Abstract

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 $\lambda \in \overset{\circ}{\mathbb{R}}_+=(0,+\infty)$.

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Nikolaos S. Papageorgiou, Patrick Winkert. 2020-09-14. Existence and nonexistence of positive solutions for singular (p,q)-equations with superdiffusive perturbation. https://arxiv.org/abs/2009.06785

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