6533b857fe1ef96bd12b4dad

RESEARCH PRODUCT

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

Calogero VetroNikolaos S. PapageorgiouFrancesca Vetro

subject

010101 applied mathematicsDirichlet problemConvectionApplied Mathematics010102 general mathematicsMathematical analysisSingular termPerturbation (astronomy)0101 mathematics01 natural sciencesLaplace operatorMathematicsParametric statistics

description

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.

yearjournalcountryeditionlanguage
2021-08-01Applied Mathematics Letters
https://doi.org/10.1016/j.aml.2021.107175