We consider a Robin problem driven by a nonlinear, nonhomogeneous differential operator with a drift term (convection) and a Carathéodory perturbation. Assuming that the drift coefficient is positive and using a topological approach based on the Leray–Schauder alternative principle, we show that the problem has a positive smooth solution.

Nonlinear nonhomogeneous Robin problems with convection

Pasquale Candito;
2019-01-01

Abstract

We consider a Robin problem driven by a nonlinear, nonhomogeneous differential operator with a drift term (convection) and a Carathéodory perturbation. Assuming that the drift coefficient is positive and using a topological approach based on the Leray–Schauder alternative principle, we show that the problem has a positive smooth solution.
2019
Leray–Schauder alternative principle, nonlinear regularity, compact map, nonlinear maximum principle
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/54695
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