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
Settore MAT/05 - Analisi Matematica
Settore MAT/08 - Analisi Numerica
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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