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.
2023
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/609813
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