We give general conditions to state weighted Hardy's inequalities for a large class of weights. We prove the optimality of the constants and show the relationship between such inequalities and the existence and nonexistence of positive solutions to a large class of parabolic equations of Kolmogorov type.

Weighted Hardy's inequalities and Kolmogorov-type operators

CANALE, Anna;GREGORIO, FEDERICA;RHANDI, Abdelaziz;TACELLI, CRISTIAN
2019-01-01

Abstract

We give general conditions to state weighted Hardy's inequalities for a large class of weights. We prove the optimality of the constants and show the relationship between such inequalities and the existence and nonexistence of positive solutions to a large class of parabolic equations of Kolmogorov type.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4690167
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