We consider a Dirichlet problem for a system of equations involving Kirchhoff type pi-Laplacian differential operators and exhibiting gradient dependence in the reaction term (convection). Using the subsolution-supersolution method, we establish the existence of weak solutions into suitable ordered intervals. Following unified approach, we also provide a comparison argument to obtain positive solutions of certain models.
Toscano E., Vetro C., Wardowski D. (2023). Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 16(8), 2213-2229 [10.3934/dcdss.2023070].
Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method
Toscano E.;Vetro C.
;
2023-01-01
Abstract
We consider a Dirichlet problem for a system of equations involving Kirchhoff type pi-Laplacian differential operators and exhibiting gradient dependence in the reaction term (convection). Using the subsolution-supersolution method, we establish the existence of weak solutions into suitable ordered intervals. Following unified approach, we also provide a comparison argument to obtain positive solutions of certain models.File | Dimensione | Formato | |
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