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.
Papageorgiou N.S., Vetro C., Vetro F. (2021). A singular (p,q)-equation with convection and a locally defined perturbation. APPLIED MATHEMATICS LETTERS, 118, 1-7 [10.1016/j.aml.2021.107175].
A singular (p,q)-equation with convection and a locally defined perturbation
Vetro C.
;
2021-01-01
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.
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