A singular (p, q)-equation with convection and a locally defined perturbation. (August 2021)

• Record Type: Journal Article
• Authors: Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca
• Is Part Of: Applied mathematics letters. Volume 118(2021)
• Publication Date: 2021-08
• Subjects: Convection -- Nonlinear regularity -- Nonlinear maximum principle -- Pseudomonotone operator -- Positive solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107175
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We consider a parametric Dirichlet problem driven by the ( p, q ) -Laplacian and a reaction which is gradient dependent (convection) and the competing effects of two more terms, one a parametric singular term and a locally defined perturbation. We show that for all small values of the parameter the problem has a positive smooth solution.