Pappalardo, Francesco (2018) Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators. [Tesi di dottorato]

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Item Type: Tesi di dottorato
Lingua: English
Title: Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators
Creators:
CreatorsEmail
Pappalardo, Francescopappalardo89@libero.it
Date: 10 December 2018
Number of Pages: 96
Institution: Università degli Studi di Napoli Federico II
Department: Matematica e Applicazioni "Renato Caccioppoli"
Dottorato: Scienze matematiche e informatiche
Ciclo di dottorato: 31
Coordinatore del Corso di dottorato:
nomeemail
de Giovanni, Francescodegiovan@unina.it
Tutor:
nomeemail
de Giovanni, FrancescoUNSPECIFIED
Date: 10 December 2018
Number of Pages: 96
Uncontrolled Keywords: Weighted Hardy Inequalities
Settori scientifico-disciplinari del MIUR: Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica
Date Deposited: 19 Dec 2018 09:15
Last Modified: 26 Jun 2020 08:36
URI: http://www.fedoa.unina.it/id/eprint/12587

Abstract

The main purpose of the thesis, which describes the topics I was involved and the results achieved so far, is to introduce the multipolar weighted Hardy inequalities in R^N in the context of the study of Kolmogorov type operators perturbed by singular potentials and of the related evolution problems. The thesis describes, in the first part (Chapter 1), the reference results we can find in literature about the behaviour of the operators with inverse square potentials in the unipolar and multipolar case (existence and nonexistence of positive solutions to evolution problems with Schrodinger and Kolmogorov type operators and positivity of the quadratic form associated with Schrodinger operators). Furthermore we recall the Hardy inequalities in the case of Lebesgue measure and in the weighted case. In the second part (Chapters 2 and 3) we report our results about Kolmogorov type operators and weighted Hardy inequalities.

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