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 |
|---|---|
| Resource language: | English |
| Title: | Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators |
| Creators: | Creators Email Pappalardo, Francesco pappalardo89@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: | nome email de Giovanni, Francesco degiovan@unina.it |
| Tutor: | nome email de Giovanni, Francesco UNSPECIFIED |
| Date: | 10 December 2018 |
| Number of Pages: | 96 |
| 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 |
Collection description
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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