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

2020/09/14 by Nikolaos S. Papageorgiou, Patrick Winkert, Papageorgiou, Nikolaos S. +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2009.06785

openalex publication_date 2020/09/14 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We consider a nonlinear Dirichlet problem driven by the (p,q)-Laplacian and\nwith a reaction which is parametric and exhibits the combined effects of a\nsingular term and of a superdiffusive one. We prove an existence and\nnonexistence result for positive solutions depending on the value of the\nparameter \λ \∈ overset\∘\ℝ₊=(0,+\∞).\n

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